example 4 solve a multi-step problem a softball field forms a sector with the dimensions shown. find...
Post on 24-Dec-2015
265 Views
Preview:
TRANSCRIPT
EXAMPLE 4 Solve a multi-step problem
A softball field forms a sector with the dimensions shown. Find the length of the outfield fence and the area of the field.
Softball
EXAMPLE 4 Solve a multi-step problem
SOLUTION
STEP 1
Convert the measure of the central angle to radians.
90º = 90º ( π radians180º ) =
π2
radians
EXAMPLE 4 Solve a multi-step problem
STEP 2
Find the arc length and the area of the sector.
πArc length: s = r = 180 = 90π ≈ 283 feetθ2
( )
Area: A = r2θ = (180)2 = 8100π ≈
25,400 ft2
π2
( )12
12
The length of the outfield fence is about 283 feet. The area of the field is about 25,400 square feet.
ANSWER
GUIDED PRACTICE for Example 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 220 feet from home plate.
The length of the outfield fence is about 346 feet. The area of the field is about 38,013 square feet.
ANSWER
top related