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CUET
General Test
Quantitative Reasoning
Geometry
Length of a chord is 40 cm. If the angle subtended by this chord at the circumference of the circle is 90 degree, then what will be the radius of this circle? |
15 cm 25 cm 80 cm 20 cm |
20 cm |
Let O be the circle's center, and let C the point on the circumference. Using, If an angle subtended by a chord by a chord on the circumference of a circle is 90 degrees, then the chord is the circle's diameter. So, MN is the diameter. MN = 2(OM) 40 = 2(OM) OM = 20 Therefore, OM is 20 cm. |