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EXAMPLE 4

A softball field forms a sector with the dimensions shown. Find the length of the outfield fence and the area of the field. EXAMPLE 4. Solve a multi-step problem. Softball. ). (. π. π radians. radians. 90º = 90º. =. 2. 180º. EXAMPLE 4. Solve a multi-step problem. SOLUTION. STEP 1.

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EXAMPLE 4

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  1. A softball field forms a sector with the dimensions shown. Find the length of the outfield fence and the area of the field. EXAMPLE 4 Solve a multi-step problem Softball

  2. ) ( π πradians radians 90º = 90º = 2 180º EXAMPLE 4 Solve a multi-step problem SOLUTION STEP 1 Convert the measure of the central angle to radians.

  3. π ) ( Arc length: s=r= 180 = 90π ≈ 283 feet θ 2 π 1 1 ) ( Area: A=r2θ= (180)2 = 8100π ≈ 25,400 ft2 2 2 2 ANSWER The length of the outfield fence is about 283feet. The area of the field is about 25,400square feet. EXAMPLE 4 Solve a multi-step problem STEP 2 Find the arc length and the area of the sector.

  4. 9. What If? In Example 4, estimate the length of the outfield fence and the area of the field if the outfield fence is 220feet from home plate. ANSWER The length of the outfield fence is about 346feet. The area of the field is about 38,013square feet. for Example 4 GUIDED PRACTICE

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