Question

The length of the longest chordvof a circle is 17 cm,find the radius of a circle

Answer 1

Here's the answer

We know that ,

The longest chord of the circle is called as Diameter.

Diameter is double the radius.

${\underline {\sf { Diameter = 2 × radius}}}$

Therefore,
According to the question ,

Diameter = 17 cm

Radius = ?

$\sf{ \therefore \: Radius = \frac{17}{2}}$


$\sf{Radius = 8.5 cm}$

Thus, Radius of the circle is 8.5 cm


Thanks!!

Answer 2

$\textbf{\huge{ANSWER:}}$

If you remember, we have studied in our earlier classes about the longest chord of a circle.
The longest chord of any circle is it's $\textbf{Diameter}$.

Therefore, $\sf{Given:}$

Diameter = 17 cm

$\sf{To\:find:}$

The Radius

$\sf{Solution:}$

Diameter = 2 (Radius)

=》 17 = 2r

=》 r = $\frac{17}{2}$

=》 r = 8.5 cm

Hope it Helps!! :)