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?
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