Question

If YOU READ THIS JUST PLEASE ANSWER IT, OK IS THAT SO HARD?---20pts!!!!!
The formula below gives the area of a semi-circle, A, with a radius of r. Solve the formula for the radius.

Answer 1

Start with

A = (1/2)*pi*r^2 and solve for r^2, and then for r:

A 2

--- * ----- = r^2.

1 pi

Then r = + sqrt( 2A/pi).

Answer 2

The Formula for the radius from formula of area will be option (A) $r=\sqrt{\frac{2A}{\pi } }$

Semi-circle

• A semicircle is a half circle, formed by cutting a whole circle along a diameter line.
• It's area is given by $\frac{1}{2}\pi r^{2}$ where r is radius of semi circle.

How to solve this problem?

The steps are as follow:

• Given the area of semi circle which is $\frac{1}{2}\pi r^{2}$
• We have to find the radius from this for formula which can be done by following way:

$A= \frac{1}{2}\pi r^{2}\\A*2=\pi r^{2}\\r^{2}=\frac{A*2}{\pi }\\r=\sqrt{\frac{2A}{\pi } }$

Therefore formula for the radius from formula of area will be option (A) $r=\sqrt{\frac{2A}{\pi } }$

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