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Answered

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Find the area of half a circle with a radius of 8cm

Sagot :

anthonyfeliciano579

Answer:

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Step-by-step explanation:

Consider a circle of radius  8  centimetres. Recall that the centre angle in a circle is always 360˚ . However, a semi-circle is a circle cut in half. Hence, the centre angle for the semi-circle is cut in half, or has a measure of 180˚

Here's a diagram of what's going on.

Before applying the formula, let's convert 180˚  to radians.

180˚ over 1  times π over 180°

We will now use the formula to determine the area of this semi-circle.

A= 1/2 × π × 8²

A=1/2 × π × 64

A= 32πcm²

We can confirm this using the formula for area of a semi-circle, A= r²π over 2

A= 8²π over 2

A= 32πcm²

Same, so both formulae work.

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