Engineering Board Exam Reviewer · Circles: Arcs and Angles · hard
Two circles of radius 10 have centers 10 units apart. Find the area common to both circles.
- 209.44
- 86.6
- 61.42
- 122.84
Answer
D. 122.84
Solution
The common area is two circular segments, each with central angle 120°: A=r2( - )=100≤ft(2π/3- 3/2 ) 122.84.
More Circles: Arcs and Angles questions
- A circular sector of radius 10 cm has an area of 50 cm2. Find its perimeter in cm.
- In a circle of radius 6, a chord subtends a central angle of 120°. Find the length of the chord.
- A tangent and a chord meet at a point on a circle and intercept an arc of 100°. Find the angle between the tangent and the chord.
- Two secants drawn from an external point intercept arcs of 140° (far) and 40° (near) on a circle. Find the angle between the secants.
- Two chords intersect inside a circle. One of the angles they form and its vertical angle intercept arcs of 70° and 110°. Find the measure…
- Find the area of the circular segment cut off by a chord that subtends a central angle of 90° in a circle of radius 10.
- Find the area of a sector of a circle of radius 12 with a central angle of 60°.
- An inscribed angle intercepts an arc of 80°. Find the inscribed angle.
- Find the length of an arc of a circle of radius 8 cm that subtends a central angle of 45°.
- An inscribed angle intercepts an arc of 80°. Find the measure of the inscribed angle.