Mathematics
In figure given below, O is the centre of the circle, use the given information to find the value of x:
Circles
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Answer
As we know that the angle subtended by a diameter at any point on the circumference of a circle is a right angle (90°).
⇒ ∠APB = 90°
According to exterior angle theorem,
Exterior angle of a triangle is equal to the sum of the two opposite interior angles.
⇒ ex. ∠A = ∠APB + ∠ABP
⇒ x = 90° + 60° = 150°
Hence, the value of x = 150°.
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Related Questions
From an external point P, the tangent PA is drawn to the circle with centre O.
(i) If OP = 20 cm and tangent PA = 16 cm find the diameter of the circle.
(ii) If diameter of the circle is 20 cm and tangent PA = 24 cm, find the length of OP.
In figure given below, O is the centre of the circle, use the given information to find the value of x:
In figure given below, O is the centre of the circle, use the given information to find the value of x:
In figure given below, O is the centre of the circle, use the given information to find the value of x:
