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Aleks04 [339]
2 years ago
15

The area of B is 144pi ft2 Find the circumference of b

Mathematics
2 answers:
baherus [9]2 years ago
8 0
A c=12 pi ft i think

juin [17]2 years ago
5 0
First, we use the area an the formula of the area to find the radius of the circle.

Area of circle = pi * r^2

144 pi ft^2 = pi * r^2

r^2 = 144 ft^2

r = 12 ft

The radius of the circle is 12 ft.

Now we use the circumference formula to find the circumference of the circle.

circumference of circle = 2 pi r

C = 2 * pi * 12 ft

C = 24pi ft
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The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

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\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8

Hence,  the measure of angle J is 19.8°, and the correct option is D.

Learn more about law cosine here;

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