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Worksheet: Finding the Area of a Circle

Q1:

Work out the area of the circle, giving your answer accurate to two decimal places.

Q2:

Work out the area of the circle, giving your answer as a fraction of πœ‹ .

  • A 7 2 0 3 8 0 0 πœ‹
  • B 2 1 6 0 9 8 0 0 πœ‹
  • C 1 6 0 0 2 1 6 0 9 πœ‹
  • D 2 1 6 0 9 1 6 0 0 πœ‹
  • E 8 0 0 2 1 6 0 9 πœ‹

Q3:

𝐴 𝐡 and 𝐢 𝐷 are two parallel chords on the same side of a circle. The radius of the circle and the length and 𝐴 𝐡 is 12 cm and the length of 𝐢 𝐷 is 𝐢 𝐷 = 1 8 c m . Find the area of the part included between the two chords giving the answer to two decimal places.

Q4:

If the radius of the smaller circle is 6.6 cm, and the radius of the greater circle is 10.5 cm, determine the area of the shaded part rounded to the nearest hundredth.

Q5:

The area of one circle is 4 times the area of another. If the area of the smaller circle is 55.1 square centimeters, determine, to the nearest tenth, the diameter of the larger circle.

Q6:

Three congruent circles with a radius of 43 cm are placed touching each other. Find the surface area of the part between the circles giving the answer to the nearest square centimeter.

  • A 3 203 cm2
  • B 1 750 cm2
  • C 2 904 cm2
  • D 298 cm2

Q7:

Work out the area of the circle, giving your answer accurate to two decimal places.

Q8:

The two circles shown in the diagram are concentric. Work out the area of the shaded section, giving your answer in terms of πœ‹ .

  • A 1 5 0 πœ‹
  • B 5 0 πœ‹
  • C 1 0 0 πœ‹
  • D 7 5 πœ‹
  • E 2 5 πœ‹

Q9:

Determine the diameter of a circle whose area is 2 461.76 cm2, taking πœ‹ = 3 . 1 4 .

Q10:

Given that 𝐴 𝑂 = 1 2 . 2 , work out the area of the semicircle, giving your answer as a fraction of πœ‹ .

  • A 1 2 2 5 πœ‹
  • B 3 7 2 1 2 5 πœ‹
  • C 2 4 4 5 πœ‹
  • D 3 7 2 1 5 0 πœ‹
  • E 3 6 3 5 πœ‹

Q11:

Work out the area of a circle with a radius of 4 inches, giving your answer to two decimal places.

Q12:

The surface of my circular table has diameter 2 m. I want to cover the surface of the table in a sheet of glass and the price of one square metre of glass is 65 LE. Using 3.14 as an estimate for πœ‹ , calculate how much the glass circle will cost me.

Q13:

How can you use the circumference of a circle to work out its area?

  • A You multiply by its radius and then multiply by two.
  • B You multiply by its diameter and then divide by two.
  • C You multiply by its radius squared.
  • D You multiply by its radius and then divide by two.
  • E You multiply by its diameter squared.

Q14:

Given that 𝐴 𝐡 = 8 . 4 , work out the area of the semicircle, giving your answer as a fraction of πœ‹ .

  • A 8 4 5 πœ‹
  • B 8 8 2 2 5 πœ‹
  • C 1 6 8 5 πœ‹
  • D 4 4 1 5 0 πœ‹
  • E 4 4 1 2 5 πœ‹

Q15:

Circle 𝑀 , of radius 6, is divided into three equal sectors. Calculate the area of each sector, using 3.14 to approximate πœ‹ .

Q16:

Using the area formula and rounding to the nearest hundredth, find the area of the colored circle.

Q17:

Using the area formula and rounding to the nearest hundredth, find the area of the colored circle.

Q18:

Determine, to the nearest tenth, the area of the given circle.

Q19:

A sprinkler that sprays water in a circular area can be adjusted to spray up to 44 ft. Determine, to the nearest square foot, the maximum area of lawn that can be watered by the sprinkler.

Q20:

A sprinkler that sprays water in a circular area can be adjusted to spray up to 19 ft. Determine, to the nearest square foot, the maximum area of lawn that can be watered by the sprinkler.

Q21:

Determine, to the nearest square centimeter, the area of the colored region of the given figure.

Q22:

Emma designed a small circular garden with a diameter of 4.7 m. Determine the area of the garden rounded to the nearest tenth.

Q23:

Daniel drew a circle of radius 2 centimeters, and then another of radius 7 centimeters. What is the difference in area between the two, to the nearest square centimeter?

Q24:

Charlotte is baking pizzas for her family. Each pizza has a diameter of 6.3 in. Given that each pizza is divided into 6 equal slices. Determine, to the nearest tenth of a square inch, the area of each slice of pizza.

Q25:

Work out the area of the semicircle, giving you answer as a fraction of πœ‹ .

  • A 8 1 πœ‹
  • B 8 1 2 πœ‹
  • C 9 2 πœ‹
  • D 8 1 8 πœ‹
  • E 9 πœ‹