154/π
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.
To calculate 154 divided by π, you need to know the numerical value of the mathematical constant π, which represents the ratio of a circle's circumference to its diameter. π is an irrational number, approximately equal to 3.14159.
To obtain the result, you can use a calculator or perform the calculation manually. If you wish to calculate it manually, follow these steps:
Step 1: Divide 154 by the numerical value of π, which is approximately 3.14159.
154 ÷ 3.14159 = 49.0525370194 (rounded to 10 decimal places)
Therefore, 154 divided by π is approximately equal to 49.0525370194 (rounded to 10 decimal places).