Circles

SAT Math· difficulty 5/5

A right triangle is inscribed in a circle, with the hypotenuse being a diameter. If the legs of the triangle are 9 and 12, what is the area of the circle?

  • A

    225π225\pi

  • B

    15π2\frac{15\pi}{2}

  • C

    15π15\pi

  • D

    225π4\frac{225\pi}{4}

    check_circle

Explanation

Hypotenuse =sqrt81+144=15= \\sqrt{81 + 144} = 15. Diameter = 15, so radius = 15/2. Area =pi(15/2)2=frac225pi4= \\pi(15/2)^2 = \\frac{225\\pi}{4}.

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