Advertisements
Advertisements
Question
In the given figure, if ∠ABC = 45°, then ∠AOC =
Options
45°
60°
75°
90°
Advertisements
Solution
90°
We have to find ∠AOC.
As we know that the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.
`angleAOC = 2 angleABC`
`= 2 xx 45`
= 90°
APPEARS IN
RELATED QUESTIONS
PQ is a chord of length 4.8 cm of a circle of radius 3cm. The tangents at P and Q intersect at a point T as shown in the figure. Find the length of TP.
In the given figure, PA and PB are two tangents to the circle with centre O. If ∠APB = 50° then what is the measure of ∠OAB.
In the given figure, common tangents PQ and RS to two circles intersect at A. Prove that PQ = RS.
Use the figure given below to fill in the blank:
R is the _______ of the circle.
Find the missing values in the following table for the circles with radius (r), diameter (d) and Circumference (C).
| radius (r) | diameter (d) | Circumference (C) |
| 24 m |
Circles with centres A, B and C touch each other externally. If AB = 36, BC = 32, CA = 30, then find the radii of each circle.
If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.
A circle of radius 3 cm with centre O and a point L outside the circle is drawn, such that OL = 7 cm. From the point L, construct a pair of tangents to the circle. Justify LM and LN are the two tangents.
The circumcentre of a triangle is the point which is ______.
What is the fixed point inside the circle called?
