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Kitty [74]
2 years ago
6

What is the area of a 45 degree sector of a circle with a radius of 12 in.

Mathematics
1 answer:
Elodia [21]2 years ago
6 0

given ,

a circle of radius 12 inches

and \theta = 45°

now we know that ,

\\{Area \: of \: sector =  \frac{\theta}{360\degree}  \times \pi \: r {}^{2} } \\  \\

let's now plug in the values of radius and theta as 12 inches and 45° respectively ,

\\\dashrightarrow \:  \frac{45}{360}  \times  \frac{22}{7}  \times 12 \times 12 \\  \\ \dashrightarrow \:  \frac{1}{8}  \times  \frac{22 \times 12 \times 12}{7}  \\  \\ \dashrightarrow \:  \frac{22 \times 12 \times 12}{56}  \\  \\ \dashrightarrow \:  \frac{3168}{56}  \\  \\ \dashrightarrow \: 56.57 \: inches {}^{2} (approx.)

hope helpful :D

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