Engineering Board Exam Reviewer · Circles: Chords, Tangents and Secants · medium
In a circle of radius 5, two parallel chords of lengths 6 and 8 lie on the same side of the center. Find the distance between them.
- 7
- 1
- 3
- 4
Answer
B. 1
Solution
The chord of 6 is sqrt(25-9)=4 from the center and the chord of 8 is sqrt(25-16)=3 from the center. On the same side the distance is 4-3=1.
More Circles: Chords, Tangents and Secants questions
- A chord 24 cm long lies in a circle of radius 13 cm. Find the distance from the center to the chord, in cm.
- From an external point P, a secant meets a circle at A and B with PA=4 and PB=16 (measured from P to each intersection). Find the length…
- Chords AB and CD intersect at P inside a circle with AP=6, PB=8 and CP=4. Find PD.
- A chord 8 cm long is 3 cm from the center of a circle. Find the radius of the circle in cm.
- A point is 13 units from the center of a circle of radius 5. Find the length of the tangent from the point to the circle.
- Two chords AB and CD of a circle intersect at a point P inside the circle. If AP=6, PB=8, and CP=4, find PD.
- From an external point P, a tangent PT and a secant PAB are drawn to a circle (A nearer to P). If PT=12 and PA=8, find PB.
- Two secants from an external point P intersect a circle: one at A and B (with PA=5, AB=7), the other at C and D (with PC=6). Find PD.
- A tangent segment from an external point to a circle measures 15 cm, and the distance from the external point to the center is 17 cm. Find…
- Find the length of a tangent drawn from a point 13 cm from the center of a circle with radius 5 cm.