Engineering Board Exam Reviewer · Circles: Arcs and Angles · medium
Two secants are drawn to a circle from an external point, forming an angle of 25°. If the far arc measures 90°, find the near arc.
- 40°
- 50°
- 30°
- 65°
Answer
A. 40°
Solution
The angle equals half the difference of the two arcs: 25°= 12(90°-x) x=40°.
More Circles: Arcs and Angles questions
- A circle has a diameter AB of length 4 m. Points C and D lie on the same semicircle such that angle ABC=25° and angle BAD=35°. Find the…
- An arc of a circle measures 72° and has a length of 8 cm. Find the radius of the circle.
- Find the area of a sector of a circle with radius 10 cm and a central angle of 60°.
- Find the length of a chord that subtends a central angle of 90° in a circle of radius 8 cm.
- An inscribed angle intercepts an arc of 80°. Find the measure of the inscribed angle.
- A central angle of a circle measures 110°. Find the measure of the intercepted arc.
- Two chords intersect inside a circle, forming an angle of 55°. If one of the intercepted arcs measures 70°, find the other intercepted arc.