Advertisements
Advertisements
प्रश्न
In the following figure, if ∠ABC = 20º, then ∠AOC is equal to ______.
विकल्प
20º
40º
60º
10º
Advertisements
उत्तर
In the following figure, if ∠ABC = 20º, then ∠AOC is equal to 40º.
Explanation:
Given: ∠ABC = 20°
By theorem “The angle subtended by an arc at the center of a circle is twice the angle subtended by it at remaining part of the circle”, we have:
∠AOC = 2 × ∠ABC
= 2 × 20°
= 40°
∴ ∠AOC = 40°
APPEARS IN
संबंधित प्रश्न
From an external point P, tangents PA and PB are drawn to a circle with center O. If CD is the tangent to the circle at a point E and PA = 14 cm, find the perimeter of ΔPCD.
In two concentric circles, a chord of length 8 cm of the large circle touches the smaller circle. If the radius of the larger circle is 5 cm, then find the radius of the smaller circle.
Use the figure given below to fill in the blank:
If PQ is 8 cm long, the length of RS = ________
Draw circle with diameter: 8.4 cm
In above case, measure the length of the radius of the circle drawn.
The longest chord of a circle is __________
In the adjoining figure ‘O’ is the center of the circle, ∠CAO = 25° and ∠CBO = 35°. What is the value of ∠AOB?
If angle between two tangents drawn from a point P to a circle of radius a and centre O is 60°, then OP = `asqrt(3)`
In the following figure, BC is a diameter of the circle and ∠BAO = 60º. Then ∠ADC is equal to ______.
On a common hypotenuse AB, two right triangles ACB and ADB are situated on opposite sides. Prove that ∠BAC = ∠BDC.
From the figure, identify a point in the exterior.
