Find the area of an equilateral triangle with an apothem having a length of 4 feet. Round to the nearest tenth.

Q: The altitude drawn to the base of an isoceles triangle is 8 cm and the perimeter is 32 cm .find the…

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Q: If the area of a trapezoid is 164 ft? and the bases are 20 ft and 12.8 ft, what is the height of the…

A: We know the area of trapezium is 12sum of parallel sides ×(Distance between them)

Q: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base has a length of…

A: To Determine: A trapezoid has an area of 72 cm2. If the altitude has a length of 6 cm and one base…

Q: The area of a circle is 16t in. What is the radius?

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Q: The perimeters of two regular hexagons are 30 in. and 72 in. What is the ratio of their apothens? Of…

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Q: Find the perimeter of a right triangle with legs that measure 3 in. and 4 in.

A: Given query is to find the perimeter of the triangle . Perimeter of a polygon is the sum of the…

Q: Find the length of each side of the quadrilateral shown below, rounded to the nearest tenth

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Q: An equilateral triangle has a height of 2√3 inches. What is the area of the triangle?

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Q: Use the apothem and perimeter to find the area of a regular hexagon with side length 12 feet. Round…

A: Use the apothem and perimeter to find the area of a regular hexagon with side length 12 feet. Round…

Q: Given a trapezoid with an area of 90 ft² and bases of 15 and 21 ft, find the length of the height.

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Q: A circle has a diameter of 14 mi. mi?

A: Area of circle = pi*r2

Q: The apothem length of a regular pentagon is approximately 3.44 cm. What is the approximate length of…

A: For a regular polygon with n sides, with side length s, length of apothem is given by a=s2 tan πn.…

Q: An equilateral triangle has a perimeter of 132 cm. Find the length of each side of the triangle

A: First I have written a short note about equilateral triangle, just use them and find the required…

Q: Find the lengths of the apothem and the radius of a square whose sides have length 10 in.

A: Consider the square: Here AB= BC = CD = DA = 10 in OE = EB = 5 in. Where O is the center.

Q: 6. To the nearest tenth of square inch, find the area of the regular pentagon whose apothem measures…

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Q: In the circle, the radius length is 10 in. and the length of AB is 14 in. What is the perimeter of…

A: Given that the radius of circle is 10 in and length of arc is AB⏞=14 in. That is, AO=10=OB  and…

Q: Diego built a quadrilateral using side lengths of 4 in, 5 in, 6 in, and 9 in.   Build such a…

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Q: What is the area of a regular pentagon with an apothem of 25.1mm and a side length of 36.4mm?

A: Given that a regular Pentagon with an apothem of 25.1mm and side length of 36.4mm Here we have to…

Q: Given a hexagon with side length of 35, find the apothem. Round to the nearest hundredth if…

A: Explained below...

Q: The radius of a circle is 5 cm. What is the length of the diameter?

A: We will solve the following.

Q: The radius of a circle is 6 meters. What is the circumference?

A: Given the radius of a circle is 6 meters. we know that the circumference of the circle = 2*pi*r

Q: In circle D, BC is a diameter, DA is a radius, and mAB equals sixty degrees What is m2 CAD?

A: Circle is a plane closed figure such that every point on its boundary have a constant distance from…

Q: Suppose a regular octagon is inscribed in a circle, with a radius of 18 centimeters. Find the…

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Q: If the circumference of the circle is equal to 144 cm, find the length of the solid arc. 140

A: solve the following

Q: If the radius of one circle is 6 times the radius of another, what is the ratio of their areas? Of…

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Q: If a right triangle has a hypotenuse that measures 31.1 m, and one of the legs measures 19 m, how…

A: We have to solve the problem by pythagorus law.

Q: The side of a regular pentagon is 25 cm. If the radius of its inscribed circle is 15 cm, find the…

A: Let's find.

Q: can a 11cm length of wire be bent to form the base and height of a triangle with an area 20cm2

A: The wire of 11 cm is bent in the form of 'L'. If the vertical side, h cm of 'L' shaped wire is…

Q: If a circle has a circumference of 16(pi), what is the area of the circle?

A: Formula used:

Q: The radius of a circular rug is 4 feet. what is the perimeter of the rug?

A: Given that radius of circular rug is 4 feet. And we find its perimeter .

Q: Find the area of a regular hexagon, whose apothem has length 9 inches.

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Q: Find the lengths of the apothem and the radius of a hexagon whose sides have length 6 cm. regular

A: Given, Polygon is a regular hexagon, The length of the side of the polygon is 6 cm.

Q: Find the length of the common chord of two circles of radil 25 inches and 26 inches, respectively,…

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Q: This wall hanging is made of congruent 30-60-90 triangles with a height of 6 cm and a hypotenuse of…

A: Given Data: The height of the triangle is: y=6 cm The hypotenuse of the triangle is: h=12 cm The…

Q: If a parabolic reflector of an automobile head light is 12 in. in diameter and 4 in. deep, what is…

A: To determine the area of the reflector of the headlight, lets consider the vertical cross section of…

Q: Two regular hexagons have sides of 2 and 4 What is the ratio of their perimeters? What is the ratio…

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Q: If the side measure of a regular hexagon is 5cm and the area is 94.66 cm ^ 2 what is the length of…

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Q: Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round…

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Q: Given a square pyramid with a height of 24 ft and a volume of 4,512 cubic feet, find the length of…

A: Volume of square pyramid = 13a2h, where a = side length of square base h = height of the pyramid…

Q: An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot…

A: Let radius of semicircular tunnel be r, then its diameter will be 2r. Given: Height of truck=12…

Q: The acute angles of a symmetrical trapezium are 60 ° , its legs are 12 cm long and the perimeter is…

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Q: A trapezoid has an area of 96 cm?. If the altitude has a length of 8 cm and one base has a length of…

A: Trapezoid: Assume that the length of the altitude between the two bases be h=8 cm, Length of the one…

Q: Find the area of the equilateral triangle with each side measuring 5 cm.

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Q: The area of a circle circumscribing about an equilateral triangle is 78.54sq. m. What is its radius?

A: Given : the area of circle 78.54 m2            Area of circle =π r2                where r=radius of…

Q: What is the radius of a circle with a circumference of 32 ft?

A: Formula for finding the circumference of a circle with radius r is ,         Circumference= 2πr In…

Q: Find the perimeter of a right triangle with legs that measure 7 in. and 24 in.

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Q: Find the lengths of the side and the radius of a regular hexagon whose apothem has the length 10 m.

A: Consider the given information as Lengths of the side and the radius of a regular hexagon whose…

Q: For a regular pentagon, the length of the apothem is 12 in. Find the length of the pentagon's radius…

A: Given: Apothem of a regular pentagon is, a=12 inches. The objective is to find the length of the…

Q: What is the radius of a circle with a diameter of 4cm?

A: We have to find the radius of a circle with diameter of 4 cm.

Q: If the circumference of the circle is equal to 108 cm, find the length of the solid arc. 150°

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