A circle has a diameter of 10 centimeters. A line is tangent to the circle. What is the angle between the tangent and the diameter at the point of contact?
90°
A tangent to a circle is always perpendicular to the radius (and hence the diameter) drawn at the point of contact. So the angle between the tangent and the diameter at that point is 90 degrees, regardless of the diameter's length.
Similar Questions
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Important Questions from Circles, Chords and Tangents
In a circle, a ten cm long chord is at a distance of 12 cm from the centre of the circle. The length of the diameter of the circle (in cm) is:
Chord AB of a circle of radius 10 cm is at a distance 8 cm from the centre O. If tangents drawn at A and B intersect at P., then the length of the tangent AP (in cm) is:
A chord 21 cm long is drawn in a circle of diameter 25 cm. The perpendicular distance of the chord from the centre is:
In a circle with radius 5 cm, a chord is at a distance of 3 cm from the centre. The length of the chord is:
O is the centre of this circle. Tangent drawn from a point P, touches the circle at Q. If PQ = 24 cm and OQ = 10 cm, then what is the value of OP?
