Pre-Calculus, 9th edition
39

 PAGE: 539 SET: Exercises PROBLEM: 39
Please look in your text book for this problem Statement

Radius of the circle is with center .

Redraw the figure as shown.

Area of the shaded region is sum of the areas of the triangle and sector.

Area of SAS triangles:

Two sides of the triangle are and angle is .

Area of the triangle .

Substitute corresponding values in the formula.

.

Find the area of the sector.

Area of the sector with central angle and radius is .

Therefore, .

.

.

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