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Mariana [72]
3 years ago
14

The speedometer needle in a car is 2.5 inches long. When accelerating from 0 to 60 miles per hour the needle

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0

The arc length traveled by the needle is 7.0904in^{2}

Step-by-step explanation:

<u></u>

<u>Step 1</u>

In the above question  are given that

The speedometer needle in a car is 2.5 inches long

The needle  sweeps out an arc of 130°.

Let r be the length of the speedometer needle,So

r=2.5

m∠C=130°

<u>Step 2</u>

The formula for determining the area of the sector is

A=\frac{m}{360}*\pi r^{2}

Where,the central angle is m°

and The radius is r

Substituting the value of m and  r from the step 1  in the below equation we get

A=\frac{130}{360}*\pi *2.5^{2}

A= 0.3611*\pi*6.5=7.0904 in^{2}

Hence the value of the Area of the sector is = 7.0904 in^{2}

<u></u>

<u>Step 3</u>

<u>So, the arc length traveled by the needle </u><u> 7.0904 </u>in^{2}<u />

<u></u>

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