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Find the area of the sector whose radius and central angle are 5 cm and 30° respectively. (Round your answer to the nearest whole number and use 3.14 for the value of π.)

Question

Find the area of the sector whose radius and central angle are 5 cm and 30° respectively. (Round your answer to the nearest whole number and use 3.14 for the value of π.)

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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.

Step 1: Substitute the given values into the formula. In this case, θ = 30° and r = 5 cm. So, the formula becomes (30/360) * π * 5².

Step 2: Simplify the fraction 30/360 to 1/12.

Step 3: Substitute the simplified fraction back into the formula to get (1/12) * π * 5².

Step 4: Square the radius (5² = 25) and multiply it by π to get 25π.

Step 5: Multiply 25π by 1/12 to get the area of the sector.

Step 6: Round your answer to the nearest whole number.

So, the area of the sector is approximately 7 square cm.

This problem has been solved

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