Regular Polygons
Area of a
Circle

Arc Length of a Circle
Circumference of a Circle
Area of a Circular Sector
100

A regular octagon has a perimeter of 80cm and an apothem of 12cm. The octagon’s area is...

 What is 480cm squared?

100

Calculate the area of a circle with a radius of 8cm.

What is 200.96cm squared?

100

If the circumference of a circle is 75.36cm and the central angle is 60 degrees, what is the length of the arc?

What is 12.56cm?

100

Calculate the circumference of the following circle. 

Diameter = 7cm

What is 21.98cm?

100

Calculate the central angle if:

 A circle = 254.34 cm squared

A circular sector = 84.78 cm squared

What is 120 degrees?

200

Shape: regular pentagon

Apothem = 2cm

Side length = 3cm

The area is...


What is 15cm squared?

200

Calculate the area of a circle whose diameter is 24cm.

What is 452.16cm squared?

200

If an arc length =18.5cm and the central angle is 70 degrees, what is the circumference of the circle?

What is 95.14cm?

200

What is the diameter of a circle whose circumference is 18.84cm?

What is 6cm?

200

Calculate the area of a circular sector whose central angle is 180 degrees and the diameter is 20cm.

157cm squared

300

Calculate the apothem of a regular pentagon if Area = 375 cm squared and side length equals 15cm.

What is 10 cm?

300

Determine the radius of a circle whose area is 28.26cm squared?

What is 3cm?

300

If the circumference of a circle is 50.24 cm squared and the arc is at a right angle, calculate the arc length.

What is 12.56cm?

300

What is the radius of a circle whose circumference is 37.68cm?

What is 6cm?

300

Calculate the area of a circular sector those radius is 8cm and central angle is 135 degrees.

What is 75.36 cm squared?
400

Calculate the perimeter of a regular hexagon if area is 1440cm squared and the apothem is 20cm.

What is 144cm?

400
Determine the diameter of a circle whose area is 706.5cm squared.

What is 30cm?

400
If arc length = 19.625cm and the central angle = 25 degrees, what is the radius of this circle?

What is 45cm?

400

Calculate the perimeter of a half circle (180 degree angle) whose radius is 7cm?

What is 21.98 cm?

400

Calculate the area of the circle if the circular sector has an area of 37.68cm squared and the central angle is 120 degrees.

What is 113.04cm squared?

500

What is the perimeter of the regular polygon whose sum of interior angles is 540 degrees and whose side length is 9cm?

What is 45cm?

500

Calculate the area of the shaded area in the diagram (I will show you).

What is 266.9cm squared?

500

Calculate the remaining portion of the circle (perimeter) excluding the arc if the radius equals 3cm and the arc is at a right angle. 

What is 14.13cm?

500

If the area of a half circle is 157 cm squared, what is the shape's perimeter?

What is 51.4 cm?

500
If a circular segment's area is equal to 157cm squared and the central angle is 180 degrees, what is the perimeter of the shape? 

What is 51.4cm?