ChanWilliams
Answered

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On a basketball court the free throw line is marked off geometrically this area of the court is called a key and is topped
by a semi circle that has a diameter of 12 feet find the arc length of the semi circle to the nearest foot find the area of a semi circle to the nearest square foot

Sagot :

Step-by-step explanation:

Arc length formula is

[tex]s = rx[/tex]

where x is radinas.

A semi circle has a radian measure of

[tex]\pi[/tex]

The radius is half of the diameter, 12 so the radius is

[tex]12 \times \frac{1}{2} = 6[/tex]

So the arc length is

[tex]6 \times \pi = 6\pi[/tex]

Area of semi circle is

[tex] \frac{1}{2} \pi {r}^{2} [/tex]

where r is the radius.

[tex] \frac{1}{2} \pi6 {}^{2} [/tex]

[tex] \frac{1}{2} 36\pi[/tex]

[tex]18\pi[/tex]

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