Polygon Angles
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100

Find the sum of the interior angles in a pentagon.

(n-2)180 = (5-2)180 = 3*180 =

540 degrees

100

Find the area of a rectangle with dimensions: 5 ft and 7 ft.

35 ft2

100

The area of a parallelogram is 68ft2. The base is 10ft. What is the height of the parallelogram?

6.8ft

100

Find the circumference of a circle with a diameter of 6 ft. Round answer to the nearest tenth.

9*pi or 28.3 ft

100

If the circumference of a circle is 20 m, what is the radius?

3.2 m

200

Find the measure of each interior angle in a hexagon.

(6-2)*180 divided by 6 = 4*180/6 =

120 degrees

200

Find the area of a parallelogram with a base of 9in and a height of 10in.

90 in2

200

The area of a square is 144 ft2. What are the measures of the sides of the square?

12 ft each

200

What is the circumference of a circle with a radius of 4 in?

8*pi or 25.1 in

200

What is the interior angle of a regular nonagon?

140 degrees

300

What is the sum of the exterior angles of a decagon.

360 degrees

300

Find the area of a rhombus with a diagonal of 6m and each side length of the rhombus is 5m.

24m2

300

The area of a trapezoid is 40 in2 and the bases of the trapezoid are 6 in and 10 in. What is the height of the trapezoid?

5 in

300

What is the area of a circle with a diameter of 14m?

49*pi or 153.9 m2

300

If the exterior angle of a regular polygon is 20 degrees, how many sides does the polygon have?

360/20 = 18 sides

400

What is the measure of each exterior angle of a heptagon?

360/7 =

51.4 degrees

400

Find the area of a trapezoid with bases of 15ft 8ft and height of 4ft.

46m2

400

The area of a triangle is 40 ft2 and the base of the triangle is 10 ft. What is the height of the triangle?

8 ft

400

What is the area of the sector of a circle with a 18 degree angle and a radius of 6m?

(18/360)*pi*6^2 = 5.7m2

400

If the area of a circle is 78 m2, what is the circumference?

31.3 m

500

If the angles of a pentagon are 100 degrees, 50 degrees, a right angle, and x and x+6, find the value of x.

100+50+90+x+x+6=540 

2x=294 

x=147

500

Find the area of a shape that has a rectangle with a triangle on top of it. Dimensions of the rectangle are 5 ft high by 10 ft wide. The height of the triangle is 4 ft.

70 ft2

500

Area of a trapezoid is 36m2. The height of the trapezoid is 4m and the shorter base is 6m long. What is the length of the longer base?

12m

500

If the area of a circle is 44 ft2, what is the radius?

3.7 ft

500

What is the exterior angle of 52-sided regular shape?

6.9 degrees

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