Find the diameter of a semicircle with an area of 76.97 square yards

2 answers:

6 0

Circle Area = PI*r^2
Semi Circle Area = (PI*r^2)/2
76.97 = (PI*r^2)/2
76.97 * 2 / PI = radius^2
radius^2 = 76.97 * 2 / PI
radius^2 = 153.94 / PI
radius^2 = 49
radius = 7
Diameter = 14 yards

Neporo4naja [7]3 years ago

3 0

Answer:

14 yards

Step-by-step explanation:

The area of a semi circle is given by:

$A = \frac{1}{2} \pi r^2$

where, r is the radius of the semi-circle.

It is given that:

A = 76.97 sq. yards

$\Rightarrow \frac{1}{2} \pi r^2=76.97 \\ \Rightarrow r = \sqrt{\frac{2\times 76.97}{\pi}} = 7 \text { yards}$

We know that diameter is twice of radius.

Thus, diameter of the semicircle is, d = 2 × 7 = 14 yards.

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Kruka [31]

Answer:

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Step-by-step explanation:

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$\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)$

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Therefore, $\Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}$

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