A circle fits inside a semicircle of diameter 24mm. Calculate the shaded area.
Give your answer to 3 significant figures and stae its units

A circle fits inside a semicircle of diameter 24mm Calculate the shaded area Give your answer to 3 significant figures and stae its units class=

Respuesta :

The shaded area is 113.00 square mm

How to determine the shaded area?

The diameter of the semicircle is given as:

d = 24 mm

Start by calculating its area using:

A = 0.5π(d/2)²

This gives

A = 0.5π(24/2)²

Evaluate

A = 226.29

Next, calculate the radius of the circle using:

r = d/4

So, we have:

r = 24/4

r = 6

The circle area is calculated as:

a = πr²

So, we have:

a = π * 6²

Evaluate

a = 113.14

The shaded area is then calculated using:

Shaded = A - a

This gives

Shaded = 226.29 - 113.14

Evaluate

Shaded = 113.15

Approximate

Shaded = 113.00

Hence, the shaded area is 113.00 square mm

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