Question

If the length of the longest chord of a circle is 17 cm then find the radius .​

Answer 1

Answer:

8.5cm

Explanation:

longest chord is called diameter.

radius = 2 / diameter

r=17/2

r=8.5 cm

Answer 2

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${{ \bold{ \bf{ \underline{Let' \: understand \: about \: the \: concept}}}}}$

The question is from very intersting topic of mathematics. The topic is related to Circle. Now let's see basic concept -

• Diameter - The greatest chord of the circle is known as it's diameter.

• Radius - Radius is the half of diameter.

This question says that the length of the longest chord of a circle is 17cm then find the radius. And we know that how to find radius.

Let's do it...!

${{ \bold{ \bf{ \underline{Given \: }}}}}$

: ⇒ Longest chord of diameter

= 17 cm

${{ \bold{ \bf{ \underline{To \: find \: }}}}}$

: ⇒ Radius of the circle

${{ \bold{ \bf{ \underline{Solution }}}}}$

:⇒Radius of the circle is = 8.5 cm

${{ \bold{ \bf{ \underline{ Using \: Concept}}}}}$

:⇒ Radius of the Circle Formula

${{ \bold{ \bf{ \underline{Formula \: used}}}}}$

As we know that ,

Formula of radius of Circle is Diameter / 2

${{ \bold{ \bf{ \underline{Answer \: with \: explaination}}}}}$

$\small \tt \: { : \implies Radius \: of \: the \: circle = \frac{Diameter \: of \: circle}{2} } \\ \small \tt{ = \frac{ \cancel{18}}{ \cancel{2} } = 8.5 \: cm }$

Hence radius of circle is = 8.5 cm

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