A circle has radius x cm. What is the area of a sector of the circle with angle 135°, leaving the answer in terms of x and π?
a
\( \frac{\pi x^2}{8} \)
b
\( \frac{3\pi x^2}{8} \)
c
\( \frac{5\pi x^2}{8} \)
d
\( \frac{3\pi x}{8} \)
Explanation
Correct Option
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Mrnoah
1 year ago
To find the area of the sector, use the formula:
Area = (θ / 360) × πr²
where θ is the angle in degrees, and r is the radius.
Given θ = 135° and r = x:
Area = (135 / 360) × πx²
Simplify the fraction:
Area = (3/8) × πx²
Therefore, the area of the sector is:
(3/8)πx²
