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Someone help I don't know what the diameter or radius is​

Someone help I don't know what the diameter or radius is​-example-1
User Mrco
by
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1 Answer

7 votes

Answer:

52.38 inch² & 261.90 inch²

Explanation:

Here we need to find the area of the sector . So according to formula we know the area of sector as ,


\boxed {\sf Area_((sector))= (\theta)/(360)* \pi r^2 }

Here we can see that the central angle subtended by the arc is 60° and the radius of the circle is 10 inches . So the required area would be ,

=> Area = ∅/ 360° × π r²

=> Area = 60°/360° × 22/7 × (10in.)²

=> Area = 1/6 * 22/7 * 100 in²

=> Area = 52 .380 in²

Hence the area of the red sector is 52.38 inch².

_________________________________

Now let's find out the area of blue sector .The angle subtended by the arc will be (360-60)°=300° .

=> Area = 300/360 × 22/7 × 100 in²

=> Area = 261. 90 in²

Hence the area of blue sector is 261.90 inch².


\boxed{\red{\sf Area _((red \ sector )) = 52.38 in^2 }}


\boxed{\blue{\sf Area _((blue \ sector )) = 261.90 in^2 }}

User Zeeshan Ansari
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4.9k points