If A denotes the area of the sector of a circle of radius r

If A denotes the area of the sector of a circle of radius r formed by the central angle theta, find the missing quantity. necessary, round the answer to two decimal places. r = 3 inches, theta = 3 radians, A = ? on the terminal side of an angle theta is given. Find the exact value of the indicated trigonometric (5, -12) Find cos theta.

Solution

1) Area = (theta/2pi)*pi*radius^2 = (3/2pi)*pi*9

= 13.5 inch^2

2) ( 5, -12)

hypotenuse = sqrt(5^2 +12^2) = 13

cos(theta) = 5/13