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BlackZzzverrR [31]
3 years ago
14

The diagram shows two circles with the same centre. The radius of the smaller circle is 2cm and the diameter of the larger circl

e is 8cm. Find the exact value of the area.
hello pls help me with question and show full working out ty :)

Mathematics
2 answers:
Phoenix [80]3 years ago
7 0

Answer: 12π sq. cm.

Step-by-step explanation:

To calculate the area of the shaded part, we will have to deduct the area of the smaller circle (s) from the area of the bigger circle(b).

Area b = π x 4^2

= 16π

Area s = π x 2^2

= 4π

Area of shaded part = 16π - 4π = 12π

nadya68 [22]3 years ago
6 0

Answer:

\boxed{Area = 12\pi  cm^2}

Step-by-step explanation:

<u><em>Area of larger circle:</em></u>

=> \pi r^2

Where r = 4

=> \pi (4)^2

=> 16\pi cm²

<u><em>Area of smaller circle:</em></u>

=> \pi r^2

Where r = 2

=> \pi (2)^2

=> 4\pi cm²

<u><em>Area of shaded part:</em></u>

=> 16\pi-4\pi

=> 12\pi cm²

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