A circle has an arc of length 32π that is intercepted by a central angle of 240°.
What is the radius of the circle?
A circle has a radius of 48 millimeters.
What is the central angle in radians, that intercepts an arc of length 36π millimeters?
A point on the unit circle lies on the terminal side of an angle in standard position in Quadrant IV.
Select from the drop-down menus to correctly complete each statement.
The cosine of the angle is Choose...negative OR positive.
The sine of the angle is Choose...negative OR positive.
+128407 32pi = 2*pi *r* (240/ 360) divide both sides by pi
32 = 2 * (240/360) * r
32 = 240/180 * r
32 = (4/3) * r
(32) (3/4) = r
24 = r
36pi = 2* pi * 48 * ( Angle / 360)
36 = (96/360) * Angle
36 (360 / 96) = Angle
(36/96)(360) = Angle
(3/8)(360) - Angle
135° = Angle = (3/4)pi rads
Quadrant iV ⇒ cosine positive, sine negative
