Find the area of a sector with a central angle of 170° and a diameter of 9.1 cm. Round to the nearest tenth.

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21-09-2016
Mathematics

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Find the area of a sector with a central angle of 170° and a diameter of 9.1 cm. Round to the nearest tenth.

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taskmasters taskmasters · Answer 1 · 2016-09-24T04:01:58+02:00

taskmasters taskmasters

24-09-2016

The area A of a circle with radius r is given by A = πr^2. But this is for a whole circle. A sector is only just a part of a circle with a central angle. We calculate the area as follows:

A = (∅/2)(π/180)r²
A = (170/2)(π/180)(9.1)²
A = 122.85 cm²

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