My Math Forum Find Area of a Quadrant of a Circle.

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 November 5th, 2016, 01:57 PM #1 Newbie   Joined: Aug 2015 From: Alberta Posts: 18 Thanks: 0 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 03:32 PM.
 November 5th, 2016, 03:31 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,969 Thanks: 2219 The answer should be 71.62 cm² (after rounding to 4 significant figures).
 November 25th, 2016, 10:21 PM #3 Member   Joined: Sep 2016 From: India Posts: 88 Thanks: 30 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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