In the figure below, the rectangle at the corner measures 10 cm × 20 cm. The corner A of the rectangle is also a point on the circumference of the circle. What is the radius of the circle in cm?
A
10 cm
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B
40 cm
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C
50 cm
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D
None of these.
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Solution
The correct option is C50 cm (x–20)2+(x–10)2=x2 x2+400–40x+x2+100–20x=x2 x2–60x+500=0 x2–50x–10x+500=0 x(x–50)–10(x–50)=0 x=50,x=10. Qxcannotbe10. ∴x=50.