Question

The minute hand of a clock is 12 cm long. Find the area of the face of the clock described by the minute hand in 35 minutes.​

Answer 1

$\tt\fbox\green{✓verified\:Answer:-}$

• refer pic

IF IT HELPS YOU PLEASE MARK AS BRAINLIEST❤

Answer 2

SOLUTION:-

•Suppose above picture is a clock

$\sf \:</u><u>W</u><u>e \: know \: that \:$

$\sf \longrightarrow \: </u><u>A</u><u>ngle \: described \: by \: the \: minute \: hand$

$\sf \: 60 \: minutes = 360 {}^{0}$

$\therefore \sf \: angle \: described \: by \: minute \: hand \: in$

$\sf \: 35 \: minutes = \bigg \{ \frac{360}{60} \times 35 \bigg \} {}^{0} = 210 {}^{0}$

$\sf </u><u>N</u><u>ow$

$\: \sf \theta = 210 {}^{0} \: and \: r = 12 \: cm$

$\:$

•Required area swept by the minute hand in 35 minutes =area of sector with r=12cm and $\theta$=210⁰

$\: \: \: \: \: \: \: \sf\: = \bigg \{ \frac{ \pi r {}^{2} \theta}{360} \bigg \}cm {}^{2} \: \: \: \: \: \: \: \: \: \: \: \\\\ \: \: \: \: \: \: \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \bigg \{ \frac{22}{7} \times 12 \times 12 \times \frac{210}{360} \bigg \}cm {}^{2} \: \\\\ \: \: \: \: \: \: \: \sf \: \: = 264cm {}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

•Hence,the required are is 264cm²