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.
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)
Find the angle between the radius and the tangent at the point of contact.
If 3x + y - 5 = 0 is the equation of a chord of the circle x2 + y2 - 25 = 0, then what are the coordinates of the mid-point of the chord ?
What is the area of minor segment ?
What is the area of major segment ?
A straight line x = y + 2 touches the circle 4(x 2+ y 2) = r 2. The value of r is
If the centre of the circle passing through the origin is (3, 4), then the intercepts cut off by the circle on x-axis and y-axis respectively are