In a circle of radius 25 inches, a central angle of 35° will intersect the circle forming an arc of length?

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Answer 1 · 2016-08-31T14:51:08

Arc length #~=15.27" inches"#

Start by drawing a diagram.

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The arc length of a circle, #s# is given by #s = theta xx r#, where #r# is the radius and #theta# is the centre angle, in radians.

Since our centre angle is in degrees, we will have to convert to radians using the conversion factor #pi/180#

#35˚ xx pi/180 = (7pi)/36#

#:.# The centre angle measures #(7pi)/36# radians.

We will now apply the formula.

#s = theta xx r#

#s = (7pi)/36 xx 25#

#s ~= 15.27" inches"#

Hopefully this helps!