Question

$<i>$
$<b>$ Neep help!

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Answer 1

$\huge \mathfrak{Answer:-}$

$\bold{Given:-}$

A wheel makes 200 revolutions in 2 minutes.

$\bold{So,}$

In 1 second total revolution,

$= \frac{200}{2 \times 60}$

$= \frac{200}{120}$

$= \frac{5}{3} \: of \: revolution$

$\bold{And,}$

Total revolutions in 24 seconds,

$= \frac{5}{3} \times 24$

$= 40$

$\bold{We\:know,}$

In one revolution centre angle is 360°

$\bold{Therefore,}$

The measure of the angle it describes at the center in 24 seconds,

$= 40 \times 360$

$= 14400°$

$\text{Be\:Brainly}$❤️

Answer 2

$\mathcal{\blue{\huge{\underline{ANSWER}}}}$

$\texttt{ Given that}$

$\texttt{No of revolution in 2 min }$

$\texttt{ = 200}$

$\texttt{ Then no. of revolution}$

$\texttt{ in 1 sec }$

= $\frac{200}{2 × 60 }$

= $\frac{5}{3}$

$\texttt{ Then no of revolution}$

$\texttt{ in 24 sec }$

= $\frac{5}{3} × 24$

= $5 × 8$

= $40$

$\texttt{Now as in one revolution }$

$\texttt{ a circular object makes}$

$\texttt{360° at center }$

$\texttt{ Thus, by making 40}$

$\texttt{ revolution it describes}$

$40 × 360°$

= $14400°$

$\texttt{ So, it describes 14400° at}$
$\texttt{ center}$

$\boxed{\boxed{\boxed{Hope \: it \: helps}}}$