Find the length of an arc whose central angle measures 90^(@) that is on a circle whose diameter is 20 . 2pi 4pi 5pi 10 pi

Identify arc length formula: Step 1: Identify the formula for the length of an arc. The formula for the length of an arc (s) is s = rθ, where r is the radius of the circle and θ is the central angle in radians.Convert angle to radians: Step 2: Convert the central angle from degrees to radians. Given angle = 90 degrees. To convert degrees to radians, multiply by π/180. θ = 90 * (π/180) = π/2 radians.Calculate circle radius: Step 3: Calculate the radius of the circle. The diameter of the circle is given as 20. The radius (r) is half of the diameter. r = 20 / 2 = 10.Calculate arc length: Step 4: Calculate the length of the arc using the formula. Substitute r = 10 and θ = π/2 into the formula s = rθ. s = 10 * (π/2) = 5π.

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Find the length of an arc whose central angle measures
90^(@) that is on a circle whose diameter is 20 .

2pi

4pi

5pi

10 pi

Find the length of an arc whose central angle measures $\newline$ $90^\circ$ that is on a circle whose diameter is $20$ . $\newline$ $2\pi$ $\newline$ $4\pi$ $\newline$ $5\pi$ $\newline$ $10\pi$

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Algebra 2

Find Coordinate on Unit Circle

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Q. Find the length of an arc whose central angle measures

\newline

90^\circ

that is on a circle whose diameter is

20

\newline

2\pi

\newline

4\pi

\newline

5\pi

\newline

10\pi

Identify arc length formula: Step $1$ : Identify the formula for the length of an arc. $\newline$ The formula for the length of an arc $s$ is $s = r\theta$ , where $r$ is the radius of the circle and $\theta$ is the central angle in radians.
Convert angle to radians: Step $2$ : Convert the central angle from degrees to radians. $\newline$ Given angle = $90$ degrees. To convert degrees to radians, multiply by $\pi/180$ . $\newline$ $\theta = 90 \times (\pi/180) = \pi/2$ radians.
Calculate circle radius: Step $3$ : Calculate the radius of the circle. $\newline$ The diameter of the circle is given as $20$ . The radius $(r)$ is half of the diameter. $\newline$ $r = \frac{20}{2} = 10$ .
Calculate arc length: Step $4$ : Calculate the length of the arc using the formula. $\newline$ Substitute $r = 10$ and $\theta = \frac{\pi}{2}$ into the formula $s = r\theta$ . $\newline$ $s = 10 \times \left(\frac{\pi}{2}\right) = 5\pi$ .