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Area of Shaded Circular Rings

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

'Area of Shaded Circular Rings' worksheet

Key stage:  KS 3

Curriculum topic:  Geometry and Measures

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

Difficulty level:  

down

Worksheet Overview

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.

 

cm2

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.

 

cm2

CORRECT ANSWER
141
EDDIE SAYS
Shaded area π·9² - π·6² 81π - 36π = 45π 45π = 141 cm2 (3 sf)
  • 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 π·11² - π·8² 121π - 64π = 57π 57π = 179 cm2 (3 sf)
  • 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 π·9² - π·4² 81π - 16π = 65π 65π = 204 cm2 (3 sf)
  • 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 π·8² - π·2.5² 64π - 6.25π = 57.75π 57.75π = 181 cm2 (3 sf)
  • 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 π·7² - π·3.5² 49π - 12.25π = 36.75π 36.75π = 115 cm2 (3 sf)
  • 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 π·7² - π·6² 49π - 36π = 13π 13π = 40.8 cm2 (3 sf)
  • 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 π·8.9² - π·6² 79.21π - 36π = 43.21π 43.21π = 136 cm2 (3 sf)
  • 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 π·11² - π·5.8² 121π - 33.64π = 87.36π 87.36π = 274 cm2 (3 sf)
  • 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 π·5.8² - π·2.4² 33.64π - 5.76π = 27.88π 27.88π = 87.6 cm2 (3 sf)
  • 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 π·5.7² - π·3.7² 32.49π - 13.69π = 18.8π 18.8π = 59.1 cm2 (3 sf)
---- OR ----

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