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Question

asked May 9, 2024 144k views

2 Answers

Jkondratowicz · Answer 1 · 2024-05-15T08:03:50+0000

Answer:

50.24 unit²

Explanation:

We know that,

$\sf{Area\:of\:circle = \pi r^2}$

Because a semicircle is half of a circle, its area is also half of a circle.

$\sf{Area\:of\:semicircle = (1)/(2) \pi r^2}$

Now, the given shape is one-fourth of a circle, which is called a quadrant. Therefore,

$\sf{Area\:of\:quadrant= (1)/(4) \pi r^2}$

Given that,

Substituting the values into the formula we get,

$\sf{\implies Area\:of\:quadrant= (1)/(4) \pi r^2}$

$\sf{\implies Area\:of\:quadrant= (1)/(4) * 3.14 * 8^2}$

$\sf{\implies Area\:of\:quadrant= (1)/(4) * 3.14 * 64}$

$\sf{\implies Area\:of\:quadrant= \frac{1}{\cancel{4}} * \cancel{200.96}}$

$\sf{\implies Area\:of\:quadrant= 1 * 50.24}$

$\sf{\implies Area\:of\:quadrant=50.24\:unit^2}$

Therefore,

$\sf{\boxed{\sf{50.24}}\:unit^2}$