A circle has radius 6. What is the area of a sector with central angle 90°?

9\pi Sector area = \\frac{\\theta}{360°} \\cdot \\pi r^2 = \\frac{90}{360} \\cdot \\pi(6)^2 = \\frac{1}{4}(36\\pi) = 9\\pi.

Circles

SAT Math· difficulty 3/5

90°

Explanation

= \\frac{\\theta}{360°} \\cdot \\pi r^2 = \\frac{90}{360} \\cdot \\pi(6)^2 = \\frac{1}{4}(36\\pi) = 9\\pi

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