jayinwww

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.

skipjack

The answer should be 71.62 cm² (after rounding to 4 significant figures).

deesuwalka

Hint- We know circumference $\;\;C=2\pi r$

calculate $r$ from this

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