Find the arc length of the 3/4 of a circle with a radius of 5
1 answer:
Answer:
7.5 pi
Step-by-step explanation:
The formula for arc length of a sector is denoted as
, where x is the central angle of the sector.
Since the sector is 3/4 of a circle, the central angle will be 3/4 of 360 degrees.
3/4 of 360 is 270, so we have our central angle. We also have our radius which we can plug into the formula.
2 times 5 is equal to 10, and 270/360 simplifies to 3/4. 3/4 times 10 is equal to 7.5, so the answer is 7.5 pi
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Answer:
1. area of new pen = 11
2. i. 5 feet by 2 feet
ii. 2 ½ feet by 4 ½ feet
Step-by-step explanation:
The size of the pen as planned = 5 ft long by 4 ½ ft wide
Area of the pen = length x width
= 5 x 4 ½
= 5 x
Area of the pen =
= 22 ½
But, Krista has to make the pen ½ the size of planned. So that;
area of new pen = ½ x 22 ½
= ½ x
=
= 11
area of new pen = 11
The area of the new pen would be 11
.
The possible values she could use are:
i. 5 feet by 2 feet
ii. 2 ½ feet by 4 ½ feet