Question

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

Answer 1

➪ As we know that the greatest chord of a circle is its diameter.

⇒ Radius = Diameter / 2

                = 17 / 2

                = 8.5 cm

∴ Radius is 8.5 cm

Answer 2

${\large{\bold{\bf{\underline{Let's \; understand \; about \; the \; concept}}}}}$

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...!

${\large{\bold{\bf{\underline{Given \; that}}}}}$

${\rm{:\implies Longest \: chord \: or \: Diameter \: = 17 \: cm}}$

${\large{\bold{\bf{\underline{To \; find}}}}}$

${\rm{:\implies Radius \: of \: the \: circle}}$

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

${\rm{:\implies Radius \: of \: the \: circle \: = 8.5 \: cm}}$

${\large{\bold{\bf{\underline{Using \; concept}}}}}$

${\rm{:\implies Radius \: of \: the \: circle \: formula}}$

${\large{\bold{\bf{\underline{Using \; formula}}}}}$

${\rm{:\implies Radius \: of \: the \: circle \: = \dfrac{Diameter}{2}}}$

${\large{\bold{\bf{\underline{Full \; Solution}}}}}$

${\rm{:\implies Radius \: of \: the \: circle \: = \dfrac{Diameter}{2}}}$

${\rm{:\implies Radius \: of \: the \: circle \: = \dfrac{17}{2}}}$

${\rm{:\implies Radius \: of \: the \: circle = \: 8.5 \: cm}}$