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Area of Shaded Circular Rings

In this worksheet, students must calculate the area of shaded circular rings.

Key stage:  KS 3

Curriculum topic:  Geometry and Measures

Curriculum subtopic:  Solve Problems Involving Perimeters and Areas of 2D Shapes

Difficulty level:  

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QUESTION 1 of 10

The formula for the area, A, of a circle in terms of its radius, r, is given by:

A = πr2

 

To work out the shaded area shown below, we must work out the area of the outer circle and subtract the area of the inner circle.

 

Example

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

 

 

Answer

Area of outer circle = π x 92 = 81π

Area of inner circle = π x 82 = 64π

Shaded area = 81π - 64π = 17π = 53.4 cm2 (3 s.f.)

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

  • Question 1

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
141
EDDIE SAYS
Shaded area = π9² - π6² = 45π
  • Question 2

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
179
EDDIE SAYS
Shaded area = π11² - π8² = 57π
  • Question 3

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
204
EDDIE SAYS
Shaded area = π9² - π4² = 65π
  • Question 4

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
181
EDDIE SAYS
Shaded area = π8² - π2.5² = 57.75π
  • Question 5

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
115
EDDIE SAYS
Shaded area = π7² - π3.5² = 36.75π
  • Question 6

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
40.8
EDDIE SAYS
Shaded area = π7² - π6² = 13π
  • Question 7

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
136
EDDIE SAYS
Shaded area = π8.9² - π6² = 43.21π
  • Question 8

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
274
EDDIE SAYS
Shaded area = π11² - π5.8² = 87.36π
  • Question 9

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
87.6
EDDIE SAYS
Shaded area = π5.8² - π2.4² = 27.88π
  • Question 10

Calculate the shaded area in cm2 between the two circles shown below.

Give your answer to 3 sig. figs.

Just write the number.

 

CORRECT ANSWER
59.1
EDDIE SAYS
Shaded area = π5.7- π3.7² = 18.8π
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