Question

Use the given circle. Find the length s to the nearest tenth.

a) 10.5 in
b) 5.2 in
c) 3.3 in
d) 20.9 in

Answer 1

Answer: its A

Step-by-step explanation:

Answer 2

Any smooth curve connecting two points is called an arc. The length of arc s to the nearest tenth is 10.5 in.

What is the Length of an Arc?

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}$

where θ is the angle, which arc creates at the center of the circle in degree.

The length of the given arc s, with an angle made at the center equal to (2/3)π and radius of 5 inches can be represented as,

$\text{Length of Arc} = 2\pi r \times \dfrac{\theta}{2\pi}$

$\text{Length of Arc s} = 2\pi \times (5)\times \dfrac{\frac23\pi}{2\pi}$

                        $=10.472\approx 10.5\rm\ in$

Thus, the length of arc s to the nearest tenth is 10.5 in.

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