# Lesson Worksheet: Areas and Circumferences of Circles Mathematics • 11th Grade

In this worksheet, we will practice finding the area and the circumference of a circle given its radius or diameter and relating both the area and circumference to solve various problems.

Q1:

Work out the circumference of the circle, giving your answer accurate to two decimal places. Q2:

A circle has a circumference of 90 cm.

Work out the square of the circumference.

• A8,100
• B180
• C16,200
• D810
• E90

Divide the square of the circumference by , giving your answer accurate to two decimal places.

• A1,289.16
• B14.32
• C644.58
• D64.46
• E7.16

Work out the radius of the circle to three decimal places.

Work out the area of the circle. Round your answer to two decimal places.

• A644.58 cm2
• B481.68 cm2
• C4,050.00 cm2
• D340.65 cm2
• E1,289.16 cm2

Q3:

Using 3.14 as an approximation for , find the area of the circle. Q4:

Using 3.14 in place of , determine the radius of a circle whose area is 153.86.

Q5:

The area of the given semicircle is 51.04 cm2. Find the perimeter of the semicircle to the nearest centimeter. Q6:

Work out the perimeter of the semicircle, giving your answer accurate to two decimal places. Q7:

Using 3.14 to approximate and the fact that is a square, calculate the perimeter of the shaded part. Q8:

The bull’s eye on the given archery target has a radius of 3 in. The entire target has a radius of 15 in. Determine the area of the target outside of the bull’s eye rounded to the nearest square inch. Q9:

A goat is tethered by a 10-meter long rope to the corner of a barn. What area of the field can the goat reach? • A m2
• B m2
• C m2
• D m2
• E m2

Q10:

A bicycle wheel has a radius of 35 cm. How far to the nearest meter does Emma cycle if the wheel revolves 250 times?