Circles Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

easy
Two radii and one chord form a triangle inside a circle. If the radius is 1010 cm and the triangle's perimeter is 3434 cm, find the chord length.

Solution

  1. 1
    The triangle has two sides that are radii, so those sides each measure 1010 cm.
  2. 2
    Let the chord length be cc. Then 10+10+c=3410 + 10 + c = 34.
  3. 3
    Solve: c=14c = 14 cm.

Answer

c=14ย cmc = 14 \text{ cm}
A radius is any segment from the centre of the circle to the circumference. If two radii and a chord form a triangle, its perimeter is just the sum of those three segments.

About Circles

The set of all points in a plane at a fixed distance (the radius) from a central point called the center.

Learn more about Circles โ†’

More Circles Examples

Example 1 easy

A circle has a radius of [formula] cm. Find its diameter and state the relationship between the radi

Example 2 medium

A chord of a circle is [formula] cm long and is [formula] cm from the centre. Find the radius of the

Example 3 easy

A circle has a diameter of [formula] cm. What is its radius?

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