Question 69

If the area of a circle is A, radius of the circle is r and circumference of it is C, then

Solution

Radius of circle is given $$r$$

Area of circle = $$A$$ = $$\pi*r^2$$

=> $$\pi r$$ = $$\frac{A}{r}$$

Circumference of circle = $$C$$ = $$2*\pi*r$$

=> $$\pi r$$ = $$\frac{C}{2}$$

Comparing both equations, we get :

=> $$\frac{A}{r} = \frac{C}{2}$$

=> $$rC = 2A$$

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