A triangle has sides of lengths 6 cm, 8 cm, and 10 cm. Find the distance between the center of the inscribed circle and the center of the circumscribed circle for this triangle. Give the answer to the nearest tenth of a centimeter.

Q: What is the circumference of the circle if a chord 8cm long is 3cm away from the center of the…

A: Given: A chord 8 cm long is 3 cm away from the center of the circle. To Find: The circumference of…

Q: Find the area of a segment of a circle if the central angle of the segment is 105° and the radius is…

A: Use area of sector formula

Q: Can the sides of a triangle have lengths of 15, 15, and 3? If so, what kind of triangle Is it? yes,…

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Q: Given a pentagon with radius of 17, find the area. Round to the nearest hundredth.

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Q: Can the sides of a triangle have lengths 13, 2, and 2?

A: To check: If a triangle can have length as 2, 2, 13.

Q: If the sector formed by a central angle of 30° has an area of n/3 square centimeters, find the…

A: Given area of a sector formed by a central angle of 30° is π3 cm2. We know that area of sector…

Q: 1) Construct an equilateral triangle inscribed in a circle

A: Given: A circle. To construct: An equilateral triangle inscribed in circle.

Q: Construct the Incenter and Incircle for a Triangle

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Q: If two angles of an isosceles triangle measure 35 and the base of the triangle is 18 feet, find the…

A: Given,            The two angles of an isosceles triangle measure 35 and the base of the triangle is…

Q: Find the exact area of a triangle whose sides measure 10, 12, and 18.

A: In geometry, the area can be defined as the space occupied by a flat shape or the surface of an…

Q: Find the radius of the circle if its area is: 144πcm2

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Q: Can the sides of a triangle have lengths of 9, 12, and 33? If so, what kind of triangle is it?

A: We know that ,  In triangle ,  The sum of the length of any two sides of a triangle must be greater…

Q: Can a triangle be formed with side lengths of 10 cm, 15 cm, and 25 cm? Your answer: O Yes No

A: Given :                   Can a triangle formed with given sides of 10 cm, 15 cm and 25 cm.…

Q: The angle formed by moving one-eighth of the way around a circle has a measure of how many degrees?

A: The rotation is one-eighth of the way around a circle.

Q: Is a triangle with sides of lengths 12, 35, and 37 acute,right, or obtuse?

A: Given: A triangle with the sides of the lengths 12, 35, and 37

Q: What is the smallest and the biggest angles of a triangle whose sides are 26 cm, 18 cm and 24 cm…

A: Given the sides of a triangle a=26cm, b=18cm, c=24cm The triangle diagram is as follows         Here…

Q: 7 in. 60°

A:

Q: A circle with a diameter of 10 cm and a central angle of 30° is drawn below. What is the area, to…

A: Here we have to first find the area of the sector and then find the nearest tenth of the area.…

Q: A regular pentagon is inscribed in a circle whose radius is 18cm. Find the perimeter of the…

A: Perimeter = sum of all sides of pentagon

Q: A triangle has angles measuring 30°, 30°, and 120°. If the congruent sides measure 6 units each,…

A: The circumscribed circle of a triangle is a circle that passes through all three vertices of the…

Q: An isosceles triangle has a base with length 17 inches and two congruent sides with lengths of 12…

A: Given: The base length of the isosceles triangle is 17 inches and the length of two congruent sides…

Q: A given triangle has an area of 10 square meters and a height of 5 meters.  How long is the base of…

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Q: The sides of a triangle have lengths 5, 30, and 32. What kind of triangle is it?

A: We are solving the first question and for the next question post the question again and also mention…

Q: If the area of the circle is 360 in?, what is the area of the sector if its central angle measures…

A: The area of a sector of central angle θ and radius r is given by  Area of sector=θ360×πr2Area of…

Q: The exterior angle of a regular polygon is one-third of its interior angle. How many sides does the…

A: According to the question,   The exterior angle of a regular polygon is one-third of its interior…

Q: An interior angle of a regular polygon measures 165. If each side of the regular polygon measures 10…

A: We are asked to find the area and perimeter of the regular polygon.

Q: 1. Find the missing side length of the triangle below. If necessary, round to the nearest tenth.

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Q: Find the lengths of the sides of the given triangle.

A:

Q: A circle is inscribed in a triangle having sides of lengths 6 in., 8 in., and 10 in. If the length…

A: Given that, the lengths of sides of a triangle are 6 in., 8 in. and 10 in. Let the sides of the…

Q: A circle is centered on point B. Points A, C and D lie on its circumference. If ZABC measures 70°,…

A: The angle subtended by an arc in the center of circle is twice the angle subtended at the center. In…

Q: A triangle has a base of 6 and height of 5. What is the area of the triangle?

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Q: Find the sum of the measures of the interior angles of each polygon. 1. Pentagon 2.Octagon…

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Q: Can a triangle have sides with the given lengths? Yes NO 6 in., 6 in., 12 in DO 12 ft, 6 ft., 7 ft.0…

A: Since, we have been given a triangle with the given lengths and ouraim is to verify that whether it…

Q: A regular polygon has 24 sides. Work out the size of each exterior angle.

A: Each exterior angle = 360/24 = 15 degrees.

Q: A triangle with an angle measure of 90° and lengths of 4 cm, 7 cm, and 4 cm is

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Q: A circle is centered on point B. Points A, C and D lie on its circumference. If ZADC measures 23°,…

A: The angle subtended by an arc at center is twice the angle subtended at the circumference of a…

Q: A triangle has side lengths 7 in, 11in, and 9in. Will it form a right triangle? If not, what type of…

A: In the question it is asked to check whether the given sides (7 in, 11 in, 9 in) form right angle or…

Q: Can a triangle have sides with the given lengths? Yes No 12 ft., 6 ft., 7 ft. 6 in., 6 in., 12 in 2…

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Q: The sides of a parallelogram are 10 and 20 in long and the included angle is 40°. What is the height…

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Q: Can the sides of a triangle have lengths of 38, 38, and 5? If so, what kind of triangle is It? yes,…

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Q: If the diameter of the circle is 16 cms, What is the circumference of the circle

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Q: A circle is centered on point B. Points A, C and D lie on its circumference. If ZABC measures 70°,…

A: Given,∠ABC=70°

Q: Is a triangle with the side lengths of 15, 20, and 26 acute, right, or obtuse?

A: Proceed as shown below...

Q: Can the sides of a triangle have lengths of 29, 28, and 8? If so, what kind of triangle is it? yes,…

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Q: Find the measure of one interior angle for each polygon below and round Anwser to the nearest tenth…

A: To determine:- The interior angles of the given polygons.

Q: A parallelogram has an area of 200 cm². The side lengths are 90 cm and 30 cm. Find the measures of…

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Q: 3. If the distance of point C from the center of the circle is 17 cm and BC =15 cm, find the…

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Q: If a given circle, with a central angle of 315 degrees, has a sector area of 538.78 Inches squared,…

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Q: Find the area of a triangle having two sides of lengths 24 meters and 10 meters and an included…

A: Consider the given sides as, a=24, b=10 and C=62°

Q: A right triangle has sides of lengths 8, 15, and 17 units. What is the perimeter of the triangle?

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