Areas of rhombus and kites, Areas of polygons, & Shaded areas
100
What is the circumference of a circle with a diameter of 13 in? Leave your answer in terms of π
13π in.
100
What formula would you use to calculate the area of a sector? What formula would you use to calculate the length of an arc?
(Area of the sector)/(πr^2 )=(measure of the arc)/360
(Length of the arc)/(2πr)=(measure of the arc)/360
100
Find the volume of a square pyramid with sides 6 cm in length and a height of 14.7 cm. round to two decimals
176.40 square centimeters
100
Find the volume of a cone with radius of 2 yards and a height of 10 yards. Leave as an exact answer in terms of π
(40/3)π Cubic yards
100
A kite measures 32 in long and 17 in wide. What is the area of the kite?
272 square inches
200
What three dimensional shape is obtained by rotating a triangle with a base of 5 cm and a height of 6 cm around a vertical axis? What is the radius and height of this shape?
Cone with a height of 6 cm and a radius of 5 cm.
200
If a circle has a radius of 4 meters and the central angle has a measurement of 73 degrees, What is the length if the intercepted arc? Round your answer to 2 decimals.
The length of the arc is 5.10 Meters.
200
Find the surface area of a square pyramid with sides 12 mm in length and a height of 8 mm. round to the nearest whole number
384 square mm
200
Find the volume of a cylinder with a radius 5 yd and a height of 4 yd. Leave in your answer in terms of π
100π cubic yards
200
What is the area of a octagon with a radius of 11 cm? Round to 2 decimals
342.25 square cm
300
What is the diameter of a circle with and area of 380 square inches?
11.00 in.
300
A circle has a radius of 17 ft. The circle has a sector with an area of 210.5 feet squared. What is the measurement of the central angle that defines this sector? Round your answer to 2 decimals
The central angle is 83.47 degrees.
300
Find the surface area of a prism with a right triangular base with legs of length 21 inches and 20 inches and a height of 10 inches. round to 2 decimals
1120 square inches
300
The surface area of a sphere is 576π . Find the volume of the sphere. Leave your answer in terms of π
2304π
300
What is the area of a hexagon with an apothem of 5 ft? Round to 2 decimals
86.60 square ft.
400
You ride your bicycle 40 meters. how many complete revolutions does the front wheel make if it has a radius of 32.5 cm?
19 revolutions
400
A measuring wheel is used to calculate the length of a path. The diameter of the wheel is 8 inches. The wheel makes 87 complete revolutions. How long is the path to the nearest foot?
182 ft.
400
Two rectangular prisms are similar to one another. The larger prism (prism A) has a depth of 12m and a volume of 1536 cubic meters. The smaller prism (prism B) has a depth of 3m. What is the volume of Prism B?
24 cubic meters
400
The surface area of a cone is 300π. If the radius is 12 inches, find the slant height.
13 inches
400
A pentagon is inscribed inside a circle. the pentagon has side lengths of 12 in. What is the area outside the polygon but inside its circumscribed circle? round to 2 decimals
79.60 square in.
500
The circumference of a circle is 54π in. What is the area of the circle? Leave your answer in terms of π
729π inches squared
500
A circle has a diameter of 8 ft and the measure the central angle is 75 degrees, what is the area of the larger sector? Round your answer to 2 decimals
39.79 square feet
500
Find the volume of a square pyramid with sides of length 9 ft and a slant height of 10 ft
241.12cubic ft.
500
The volume of a cylinder is 2304π cubic feet. If the radius is 12 feet, find the height of the cylinder.
16 feet
500
A square is inscribed inside a circle with a radius of 14 cm. what is the area of the regions outside of the square but inside the circle? round to 2 decimals