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# A semicircle has an area of 40Π. What is its diameter?

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A semicircle has an area of 40Π. What is its diameter?  [#permalink]

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15 Sep 2018, 15:32
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58% (00:56) correct 42% (01:10) wrong based on 23 sessions

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A semicircle has an area of $$40Π$$. What is its diameter?

A) $$2√5$$
B) $$2√10$$
C) $$4√5$$
D) $$4√10$$
E) $$8√5$$

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A semicircle has an area of 40Π. What is its diameter?  [#permalink]

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15 Sep 2018, 17:19
Harshgmat wrote:
A semicircle has an area of $$40Π$$. What is its diameter?

A) $$2√5$$
B) $$2√10$$
C) $$4√5$$
D) $$4√10$$
E) $$8√5$$

Change the Semicircle into a Normal Circle. Then find the Diameter.

Area of a Circle is A = Π$$r^2$$

Semi Circle = $$\frac{1}{2}$$ of a Circle.

So we can multiply the Area by 2 in order to get the Area of a full circle.

Semicircle has an area of $$40Π$$

Circle has an area of 80Π

A = 80Π

Find the Radius.

r = $$\sqrt{80}$$ = 4$$\sqrt{5}$$

r * 2 = Diameter

4$$\sqrt{5}$$ * 2 = 8$$\sqrt{5}$$

Answer: E
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A semicircle has an area of 40Π. What is its diameter?   [#permalink] 15 Sep 2018, 17:19
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# A semicircle has an area of 40Π. What is its diameter?

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