154/π
3 answers
Approximately 49.0795
The angle of a sector of a circle of diameter 8cm is 135. Find the area of the sector
First, we need to find the radius of the circle, which is half of the diameter.
Radius (r) = 8 cm/2 = 4 cm
We also know that the angle of the sector is 135 degrees. To find the area of the sector, we can use the formula:
Area of sector = (angle ÷ 360 degrees) x πr^2
Substituting the values we know:
Area of sector = (135 degrees ÷ 360 degrees) x π(4 cm)^2
Area of sector = (3/8) x π x 16
Area of sector = 6π
Therefore, the area of the sector is approximately 18.85 square cm.
Radius (r) = 8 cm/2 = 4 cm
We also know that the angle of the sector is 135 degrees. To find the area of the sector, we can use the formula:
Area of sector = (angle ÷ 360 degrees) x πr^2
Substituting the values we know:
Area of sector = (135 degrees ÷ 360 degrees) x π(4 cm)^2
Area of sector = (3/8) x π x 16
Area of sector = 6π
Therefore, the area of the sector is approximately 18.85 square cm.