Home
Class 10
MATHS
Points A and B lies on circle as shown. ...


Points A and B lies on circle as shown. The measure of angle ACB is `120^(@)`. If the area of circle is `81i` square units, what is the length of minor are AB?

A

`6pi`

B

`9pi`

C

`18pi`

D

`27pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    KAPLAN|Exercise ALGEBRA FOLLOW - UP TEST|10 Videos

  • COORDINATE GEOMETRY

    KAPLAN|Exercise COORDINATE GEOMETRY FOLLOW - UP TEST|6 Videos

Similar Questions

Explore conceptually related problems

Point A and B lie on circle O (not shown), AO=3 and angleAOB=120^(@) . What is the area of minor sector AOB?

In the figure above, the segments PA and PB are tangent to circle O at points A and B, respectively, and the measure of angleAPB is 60^(@) . Segment OP is drawn. If OP=(14)/(pi) , what is the length of minor arc AB?

Triangle ABC is inscribed in a circle, such that AC is a diameter of the circle and angle BAC is 45^@ . If the area of triangle ABC is 72 square units, how larger is the area of the circle than the area of triangle ABC ?

In the figure above, point O is the center of the circle, line segments LM and MN are tangent to the circle at points L and N, respectively, and the segments intersect at point M as shown. If the circumference of the circle is 96, what is the length of minor arc overset(frown)(LN) ?

The equation of the circle shown above is x^2 + y^2 =36 . If the measure of angleAOB is 1.2 radians , what is the length of arc AB in coordinate units ?

In the circle shown in the figure, the length of the arc ACB is 3 times the length of the arc AB. What is the length of the line segment AB ?

Angle ABC is 40^@ (see figure) and the area of the circle is 81 pi . If CB is a diameter of the circle, how long is arc AXC?

In the unit circle above, a angle that measure 4 radians intercepts are AB. What is the length of major arc AB?

If the radius of the circle above is x, angle AOB=120^@ , and O is the center of the circle, what is the length of chord AB, in terms of x?

The area of the shaded sector in circle P above is 18pi square units. If the measure of angle PQR is 45^(2) , what is the length of chord QR?