Find the radius of a circular arc of length 12 cm that subtends a central angle of radian measure 1.5.?

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Find the radius of a circular arc of length 12 cm that subtends a central angle of radian measure 1.5.?

Find the radius of a circular arc of length 12 cm that subtends a central angle of radian measure 1.5.

2007-09-01 14:35:13 · 2 answers · asked by austin 1 in Science & Mathematics ➔ Mathematics

2 answers

12 cm = 1.5 radians, so the entire circumference = (12 * 2 * pi)/1.5 = 50.26 cm.

50.26/(2 * pi) = 8 cm = radius.

2007-09-01 14:48:59 · answer #1 · answered by Mathsorcerer 7 · 0⤊ 0⤋

There are 2*pi radians in a circle. Therefore, the circumference of your circle is (2*pi/1.5)*12cm = 50.27cm

The circumference of a circle = 2*pi*radius, therefore, the radius of your circle = 50.27cm / (2*pi)

The radius of your circle is 8cm

2007-09-01 22:00:45 · answer #2 · answered by David W 1 · 0⤊ 0⤋