Question

Please help if can, thank you ;)

Answer 1

the anoxia 50.24 had a test with this question

Answer 2

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,

• The radius of the quadrant = 8

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}`