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November 5th, 2016, 02:57 PM   #1
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Find Area of a Quadrant of a Circle.

I'm confused once again.

Circle Circumference of 60cm.

Calculate the area of a Quadrant of that Circle.

So I know a Quadrant is a quarter of a circle.

So I first calculate the area of the circle.

A = Pir^2

3.14 x 30 x 30 = 2826, then I divide by 4 to get quarter = 706.5cm^2

But in my text book it says the answer is...

71.63 cm^2

I just realized that I was looking for a diameter not circumference. My mistake.

I figure it out I just did A = C^2 / 4 pi then divided by 4. All good.

Last edited by skipjack; November 5th, 2016 at 04:32 PM.
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November 5th, 2016, 04:31 PM   #2
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The answer should be 71.62 cm² (after rounding to 4 significant figures).
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November 25th, 2016, 11:21 PM   #3
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Hint- We know circumference $\;\;C=2\pi r$

calculate $r$ from this

Area of a quadrant = Area of quarter of circle $=\dfrac{\pi r^2}{4}$
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