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Pepsi [2]
3 years ago
9

find the measure of the central angle of a circle if it's minor are length is 14π and the radius is 18 inches

Mathematics
1 answer:
MrMuchimi3 years ago
7 0

Step-by-step explanation:

Length of arc of a circle is given as:

l =  \frac{ \theta}{360 \degree}  \times 2\pi \: r \\  \\  \therefore \: 14\pi = \frac{ \theta}{360 \degree}  \times 2\pi \:  \times 18 \\  \\ \therefore \:\theta =  \frac{14\pi \times \: 360 \degree }{2\pi \:  \times 18} \\  \\ \therefore \:\theta =  \frac{7 \times \: 360 \degree }{18}  \\  \\ \therefore \:\theta =  7 \times \: 20 \degree \\  \\  \huge \red{ \boxed{\therefore \:\theta =  140 \degree}}

Thus, the measure of central angle is 140°.

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