Question

the area of area of semicircle of radius '4r' is​

Answer 1

The area of a semicircle of radius '4r' is​ 8πr² or 25.14r² square units.

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Let's understand a few concepts:

To calculate the area of a semicircle we will use the following formula:

$\boxed{\bold{Area \:of\:a\:semicircle = \frac{1}{2} \times Area \:of\:circle = \frac{1}{2} \times \pi r^2}}$

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Let's solve the given problem:

The radius of the semicircle = 4r

Therefore, by using the above formula, we get

The area of the semicircle is,

= $\frac{1}{2} \times \frac{22}{7} \times (4r) ^2$

= $\frac{1}{2} \times \frac{22}{7} \times 16r ^2$

= $\frac{22}{7} \times 8r ^2$

= $\bold{8\pi r^2\:or\:25.14r^2\:square\:units}$

Thus, the area of a semicircle of radius '4r' is 8πr² or 25.14r² square units.

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