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If this is a central angle, the 72/360 x (2xpix4) = 5.024

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An arc of a circle that is 6Cm in length intercepts a central angle of 1.5 radians find the number of Cm in the radius of the circle?

An arc of length 6cm subtending an angle at the centre of 1.5c is equivalent to the whole circle of length 2πr subtending 2π radians. Therefore, 6/1.5 = 2πr/2π = r : Then r = 4 cm. NOTE : A radian can be defined as the angle at the centre of a circle subtended by an arc equal in length to the radius. So an arc subtending an angle of 2 radians is twice the length of the radius. An arc subtending an angle of 1.5 radians is thus 11/2 times as long as the radius.


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When the arc length is the same size as a circle's radius it is known as a radian and it measures just under 57.3 degrees


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