What is the distance between two parallel chords of lengths 16cm and 12cm of a circle with radius 10cm?

Let O is center and r is radius of circle r = 10 cm chord AB = 12 cm and chord CD = 16 cm. and CQ = QD = 12 × CD = 12 × 16 = 8 cm.

What is the distance in cm between two parallel chords?

∴ Required distance = EF = OF – OE = (16 – 12) cm = 4 cm.

How do you find the distance between a chord and a radius?

In the video lesson we learned two equations that can be used to find the length, L, of a chord of a circle, L = 2rsin(theta/2), where r is the radius of the circle and theta is the angle subtended at the center by the chord, and L = 2 sqrt(r2 – d2), where r is the radius of the circle and d is the perpendicular …

How do you find the radius of a circle in geometry?

How to Find the Radius of a Circle?

1. When the diameter is known, the formula for the radius of a circle is: Radius = Diameter / 2.
2. When the circumference is known, the formula for the radius is: Radius = Circumference / 2π
3. When the area is known, the formula for the radius is: Radius = ⎷(Area of the circle / π)

What is the distance between 2 parallel chords of length 32cm and 24cm in a circle of radius 20cm?

Given, a circle with radius 20 cm and center is origin. Draw a perpendiculars on the chords from the center. Hence, the distance between two parallel chords of lengths 24 cm and 32 cm if radius of the circle is 20 cm is 28 cm or 4 cm.

How do you solve 2 secants?

When two secants intersect outside a circle, the circle divides the secants into segments that are proportional with each other. Two Secants Segments Theorem: If two secants are drawn from a common point outside a circle and the segments are labeled as below, then a(a+b)=c(c+d).

How do you find two secants?

Two Secants Intersecting Formula: If two secant segments are drawn from a point outisde a circle, the product of the lengths (C + D) of one secant segment and its exteranal segment (D) equals the product of the lengths (A + B) of the other secant segment and its external segment (B).

What is the radius of a circle answer?

radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.