A garden has the shape of a circular sector such that its straight sides measure 50 feet in length and the central angle is 132°
1 answer:
Answer:
215 ft
Step-by-step explanation:
The length of the surrounding fence is equal to the perimeter of the garden. That is the sum of the lengths of the straight sides and the curved arc. The arc length is given by the formula ...
s = r·θ . . . . . where θ is the central angle in radians
__
<h3>arc length</h3>There are π radians in 180°, so the arc will have a measure in radians of ...
θ = 132° × (π/180°) = 11/15π ≈ 2.3038 . . . . radians
Then the length of the curved side of the garden is ...
s = (50 ft)(2.3038 radian) ≈ 115.2 ft
__
<h3>perimeter</h3>The fence length is the sum of the arc length and the two radii:
perimeter = 115.2 ft + 2×50 ft = 215.2 ft
About 215 feet of fencing are needed to enclose the garden.
You might be interested in
Answer:
Step-by-step explanation:
Given
There are 28 students in a class out of which
13 are boys so the remaining 15 are girls
Ratio of girls to boys in the class