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Earn +20 ptsQ: What is an arc central angle and radius of the circle?
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How do you find the central angle of a circle if I am given the arc length and radius?
(arc length / (radius * 2 * pi)) * 360 = angle
How do you find the degree measure of a central angle in a circle if both the radius and the length of the intercepted arc are known?
-- Circumference of the circle = (pi) x (radius) -- length of the intercepted arc/circumference = degree measure of the central angle/360 degrees
A central angle measuring 120 degrees intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle formed by this central angle?
The area of the sector of the circle formed by the central angle is: 37.7 square units.
Find the length of the arc on a circle of radius r equals 16 inches intercepted by a central angle 0 theta equals 60 degrees?
The length of an arc on a circle of radius 16, with an arc angle of 60 degrees is about 16.8.The circumference of the circle is 2 pi r, or about 100.5. 60 degrees of a circle is one sixth of the circle, so the arc is one sixth of 100.5, or 16.8.
What is the length of arc subtended by a central angle of 101.6 degrees in a circle with a diameter of 219 feet?
101.6 degrees = 1.7733 radians. So arc = radius*angle (in radians) = 219/2*1.7733 = 194.2 ft.
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