To find the area of the shaded sector, we first need to find the radius of the circle. Since the central angle of the shaded sector is 135 degrees, this angle is 135/360 = 3/8 of the full circle.
Therefore, the area of the shaded sector is also 3/8 of the full circle's area.
To find the fraction of the area of the shaded sector to the area of the full circle, we need to divide the area of the shaded sector by the area of the full circle.
Let's denote the area of the shaded sector as A_s and the area of the full circle as A_c.
A_s = (3/8) * A_c
The fraction we're looking for is A_s / A_c:
A_s / A_c = (3/8) * A_c / A_c
A_s / A_c = 3/8
Therefore, the area of the shaded sector is 3/8 of the area of the full circle.
The circle has center O
, and the central angle of the shaded sector measures 135 degrees
. The area of the shaded sector is what fraction of the area of the circle?
(The number of degrees of arc in a circle is 360
.)
1 answer