Find the area of the sector whose radius and central angle are 18 cm and 60° respectively.Question 7
Question
Find the area of the sector whose radius and central angle are 18 cm and 60° respectively.
Solution
The formula to find the area of a sector is (θ/360) * π * r², where θ is the central angle and r is the radius.
Given: θ = 60° r = 18 cm
Substitute these values into the formula:
Area = (60/360) * π * (18)²
Simplify the fraction 60/360 to 1/6:
Area = (1/6) * π * (18)²
Calculate the square of 18:
Area = (1/6) * π * 324
Multiply:
Area = 54π cm²
So, the area of the sector is 54π cm².
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