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?
Answer & explanation
Correct answer: option 4
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.