Question

In the given diagram shows the centre of the circle and ab is parallel to cd ab equals to 24 cm distance between the courts a b and cd is 17 cm if the radius of the circle is 30 sentimeter find the length of the chord cd​

Answer 1

Answer:

Where is the diagram?

Step-by-step explanation:

Answer 2

The length of the chord cd​ given the radius of the circle is 30 sentimeter is,

Consider the figure while going through the following steps:

Construction:

Draw a line perpendicular to the lines ab and cd passing through the center of circle.

Join oc and oa.

Given,

ab = 24 cm

The distance between ab and cd = mn = 17 cm

The radius of circle = oa = oc = 30 cm

In Δ ocn,

oc² = on² + cn²

∵ ∠ n = 90°

on = mn/2 = 17/2 = 8.5 cm

oc = 30 cm (radius)

30² = 8.5² + cn²

cn² = 30² - 8.5² = 827.75

cn = 28.77 cm

from figure it's clear that,

cd = cn + nd

and  cn = nd

⇒ cd = cn + cn

⇒ cd = 2 × cn

⇒ cd = 2 × 28.77

∴ cd = 57.5 cm

Therefore the length of chord cd is 57.5 cm