Polygon Angles
Find the sum of the interior angles in a pentagon.
(n-2)180 = (5-2)180 = 3*180 =
540 degrees
Find the area of a rectangle with dimensions: 5 ft and 7 ft.
35 ft2
The area of a parallelogram is 68ft2. The base is 10ft. What is the height of the parallelogram?
6.8ft
Find the circumference of a circle with a diameter of 6 ft. Round answer to the nearest tenth.
9*pi or 28.3 ft
If the circumference of a circle is 20 m, what is the radius?
3.2 m
Find the measure of each interior angle in a hexagon.
(6-2)*180 divided by 6 = 4*180/6 =
120 degrees
Find the area of a parallelogram with a base of 9in and a height of 10in.
90 in2
The area of a square is 144 ft2. What are the measures of the sides of the square?
12 ft each
What is the circumference of a circle with a radius of 4 in?
8*pi or 25.1 in
What is the interior angle of a regular nonagon?
140 degrees
What is the sum of the exterior angles of a decagon.
360 degrees
Find the area of a rhombus with a diagonal of 6m and each side length of the rhombus is 5m.
24m2
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
What is the area of a circle with a diameter of 14m?
49*pi or 153.9 m2
If the exterior angle of a regular polygon is 20 degrees, how many sides does the polygon have?
360/20 = 18 sides
What is the measure of each exterior angle of a heptagon?
360/7 =
51.4 degrees
Find the area of a trapezoid with bases of 15ft 8ft and height of 4ft.
46m2
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
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
If the area of a circle is 78 m2, what is the circumference?
31.3 m
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
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
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
If the area of a circle is 44 ft2, what is the radius?
3.7 ft
What is the exterior angle of 52-sided regular shape?
6.9 degrees