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?
Answer Details
The area of a sector of a circle can be found using the formula A = (θ/360)πr², where θ is the angle of the sector in degrees and r is the radius of the circle.
In this case, the radius of the circle is given as x cm and the angle of the sector is 135°.
Substituting these values in the formula, we get:
A = (135/360)πx²
Simplifying this expression, we get:
A = (3/8)πx²
Therefore, the area of the sector is (3/8)πx², which is.