Find the area of a sector that has a radius of 9 cm with a 130° angle.
Question
Find the area of a sector that has a radius of 9 cm with a 130° angle.
Solution
The formula to find the area of a sector is (θ/360) * π * r², where θ is the angle in degrees and r is the radius.
Step 1: Substitute the given values into the formula. In this case, θ = 130° and r = 9 cm.
So, Area = (130/360) * π * (9)²
Step 2: Simplify the equation.
Area = 0.3611 * π * 81
Step 3: Multiply the values.
Area = 28.647 cm²
So, the area of the sector is approximately 28.647 cm².
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