Geometryhard · Past Paper
If a chord subtends an angle of 120 degrees at the center of a circle of radius 12 cm, find the length of the chord.
A12 cm
B12*sqrt(3) cm
C24 cm
D6*sqrt(3) cm
✓ Correct Answer: B — 12*sqrt(3) cm
Chord length = 2 * r * sin(theta/2) = 2 * 12 * sin(60) = 24 * (sqrt(3)/2) = 12*sqrt(3) cm.
Share this question
More from Geometry
- Find the area of the ring between two concentric circles whose circumferences are 88 cm and 66 cm.
- In triangle PQR, if PQ = PR, which angles are equal?
- The centroid of a triangle divides each median in the ratio:
- What is the perimeter of a triangle with side lengths 5 cm, 7 cm, and 10 cm?
- The point of intersection of the angle bisectors of a triangle is called: