The length of the diagonal of a regular hexagon is 48 in. Find the area of the circle inscribed in the polygon

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 SIDES OF A QUADRILATERAL ARE 20CM, 16CM, 32CM, AND 40CM, RESPECTIVELY. THE OPPOSITE INTERIOR…

A: Given: The sides of the quadrilateral are: AB=20cmBC=16cmCD=32cmAD=40cm It is also given that: The…

Q: This figure is formed by a square and an isosceles trapezoid. 4 In. 5 in. 10 in. What is the…

A: To find the perimeter

Q: What is the length of the diagonal of a rectangle given the dimensions are 8 ft by 5 ft? Round to…

A: Given: Dimension of rectangle = 8 ft x 5 ft

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

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Q: The measure of each interior angle of a regular polygon is eleven timesthat of an exterior angle.…

A: Let x & y be the measure of interior and exterior angle of the regular polygon respectively.…

Q: Find the area of an equilateral triangle if each of its sides has length 12 cm.

A: Given: An equilateral triangle has a side length of 12 cm. The area of an equilateral triangle of…

Q: If the circumference of a circle measures 12 pie cm, What is the area of the circle in terms of pie?

A:

Q: If the area of the square is 121 cm², find the length of the sides and diagonal of the square.

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Q: The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth,…

A: We will find the smallest possible length of one of the 2 congruent sides as following.

Q: The length of a rectangle is 4 in longer than its width. If the perimeter of the rectangle is 56 in,…

A:

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

A:

Q: The two pentagons are similar. If the area of the smaller pentagon is 75 ft2, what is the area of…

A: A pentagon is  a polygon with five straight sides. It is a polygon in which the corresponding sides…

Q: The length of a rectangle is 4 in longer than its width. If the perimeter of the rectangle is 56 in,…

A: Let width of the rectangle=x inch Given length of the rectangle is 4 inch greater than its width.…

Q: Given the area of the trapezoid (2000 m^2) and the side of one base (144 m), find the length of the…

A: Given. Area of Trapezoid ABCD, A=2000m2  one base length AB=144…

Q: Given that a circle and a rectangle have the same perimeter, which has the larger area?

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Q: area

A:

Q: Find the area of a regular pentagon with an apothem of 8.95 cm and a side length of (round to the…

A: In the question it is asked to calculate the area (A) of pentagon and side length (L) using the…

Q: 6. Calculate the area of a regular octagon, if each side is 5 cm and the width across the flats is…

A: Consider the following figure. The area of the above octagon is 8 times the area of the triangle…

Q: A quadrilateral has sides equal to 12 cm, 20 cm, 8 cm, and 17 cm respectively. If the sum of the two…

A:

Q: For a regular heptagon, the area is 90.83 mm and the apothem is 5.19 mm. Find the side length, in…

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Q: If the radius of a circle is 9 in., find the radius of a circle whose area is 6 times as large.…

A: To Determine: If the radius of a circle is 9 in., find the radius of a circle whose area is 6 times…

Q: If the circumference of the circle is 473T ft, how long is the radius of the circle?

A:

Q: If the area of a trapezoid is 1,299 units?, and the lengths of the two bases are 16 & 22, what is…

A:

Q: On the blueprint for a house, a rectangular balcony is 1 inch wide and 1.75 inches long. If the…

A: Perimeter of balcony is 22 feet.

Q: parallelogram

A:

Q: Determine the area of rhombus ABDC if its perimeter is 100 cm, and the length of AD is 14 cm.

A:

Q: Find the area of a regular polygon if one of its sides measures 8 in. and one of its interior angles…

A:

Q: The lengths of the sides of a triangle are 5 cm, 12 cm, and 13 cm. Find the lengths, to the nearest…

A: Consider the given: And AD, BE and CF are the angle bisectors. By using angle bisector theorem:

Q: Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in.…

A: Sides of the triangle are 10, 24 and 26 inches. Clearly, 102+242=262 Therefore the given triangle…

Q: Given a square whose side is denoted as 3(x+4)² cm. What is the diagonal length (in) of the square…

A: As we haven't mentioned which question to solve. So, I am solving first question. Given: A square…

Q: A developer wants to subdivide a rectangular plot of land measuring 600 m by 750 m into congruent…

A:

Q: If a rectangular garden is 35 ft. by 45 ft., how many feet of fence are needed to enclose it?

A:

Q: If the area of a triangle is 54 cm? and the base is 18 cm, what is the height of the triangle? If…

A:

Q: If a rectangle has a length 10 cm and a width of 6 cm, what is the perimeter?

A: If a rectangle has a length 10 cm and a width of 6 cm.

Q: A strip of masking tape is placed around the edges of a rectangular window prior to painting its…

A: Area covered by the masking tape divided by width of the tape gives the length of the tape used .

Q: A rectangle is the polygon whose formula for area is most similar to that of a parallelogram. O True…

A: Topic:- parallelogram and rectangle

Q: The length of each side of a regular pentagon is 11.756 cm. Find the area of the circle…

A:

Q: In a regular polygon, each interior angle measures 135°. If each side of the regular polygon…

A: Given that, in a regular polygon, each interior angle measures 135 degrees. Then each exterior angle…

Q: . If the perimeter of a square is 40 cm, approximately how long is the diagonal of the square?

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Q: Calculate for the perimeter and area of a regular 13 – gon of side length equal to 2 inches.

A: Perimeter of a regular n-gon = ns, where n is the number of sides and s is the length of each side.…

Q: What is the length of a rectangle with width 12in. and area 102 in.2  ?

A: To find the length of the rectangle.

Q: Find the length of the third side. If necessary, round to the nearest tentl:

A:

Q: If the circumference of a circle is 18 π cm, what is the area of the circle?

A: If the radius of circle is R cm. Then circumference of the circle= 2πR cm. Area of the circle = πR^2…

Q: A hexagon is inscribed in a circle. If the difference between the area of the circle and the area of…

A: The side of the hexagon and the radius of the circle will be the same, consider a. The difference in…

Q: A parallelogram with an area of 160.5 in has a height that measures 7.5 in. Find the length of the…

A:

Q: What is the area of a regular quadrilateral with a side length of 5cm

A: see 2nd step

Q: A circle is inscribed in a square. If the perimeter of the square is 32 cm, find the circumference…

A: Answer is given below

Q: Find the perimeter of a regular polygon with an apothem of 6 inches and Area = 282 square inches. a…

A: