Answers to homework problems – page 8

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Answers to homework problems – page 8

Areas of Circles and Sectors

Theorem 11.7 Area of a Circle The area of a circle is

Theorem 11.8 Area of a Sector The ratios of the area A of a sector of a circle to the area of the circle is equal to the ratio of the measure of the intercepted arc to 360∘.

Find the area of the blue shaded region.

Find the area of the yellow ring.

Find the area of the circular sector whose chord is the side of the square inscribed in a circle with a 4 cm radius.

Calculate the area of a circular sector whose chord is the side of an inscribed equilateral triangle in a circle with a 2 cm radius.