In a circle, the angle subtended by a diameter at any point on the circle is:
Right angle
By the theorem of angles in a semicircle, the angle subtended by a diameter of a circle at any point on the circle (other than the two endpoints of the diameter) is always a right angle.
This is a direct consequence of the fact that the angle in a semicircle is \(90^\circ\), since the diameter subtends an arc of \(180^\circ\) at the centre, and the angle at the circumference is half the angle at the centre.
Hence, the angle subtended is a right angle.
Similar Questions
A circular field has a radius of 14 m. A uniform path of width 7 m is constructed all around the field on the outside. Find the area of the path. (Take π = 22/7)
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From an external point P, two tangents PA and PB are drawn to a circle, touching at A and B. If PA = 12 cm, find PB.
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Important Questions from Circles
The sum of the radius and diameter of a circle is 84 cm. What is the circumference of this circle?
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The internal center of similitude of two circles $ (x - 1)^2 + (y - 3)^2 = 4 $ and $ (x + 5)^2 + (y - 9)^2 = 16 $ is
