What is the difference of the lengths of and ? use the value = 3.14, and round the answer to two decimal places.
1 answer:
The difference between the arc BD and arc CE will be 3.14 units.
The complete question is given below.
<h3>What is the arc length of the sector?</h3>Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The diagram is shown below.
The arc length of CE will be
CE = (45/180) 2π x 8
CE = 12.56 units
The arc length of BD will be
BD = (45/180) 2π x 6
BD = 9.42 units
Then the difference between the arc BD and arc CE will be
CE - BD = 12.56 - 9.42
CE - BD = 3.14
More about the arc length of the sector link is given below.
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Step-by-step explanation:
Refer to the attachment.
I hope it helps:)
