40 point question ....... pls urgent the minute hand in a clock is 17cm long. find the area swept by it in 12 mins. the clock is a circle. no spamssssssssss pls

The area swept by the minute hand in 12 minutes is 181.58 cm²Step-by-step explanation:In the circle clockThe circumference of the circle is divided into 12 equal arcsThe central angle of each arc is 30°, because the measure of the circle is 360° and divided by 12 The central angle between each two consecutive hours is 30°There are 5 minutes between each two consecutive hours, then the central angle between each two consecutive minutes is 6° because 30° ÷ 5 = 6°When the minute hand is moved than the radius of the circle is the length of the minute handWhen the hour hand is moved than the radius of the circle is the length of the hour hand∵ The minute hand is swept by 12 minutes∵ The central angle between each two consecutive minutes = 6°∴ The central angle when the minute hand swept 12 minutes =    6 × 12 = 72°∵ The area of a sector of a circle = [tex]\frac{x}{360}*\pi r^{2}[/tex] ,    where r is the radius of the circle and x is the central angle of    the sector∵ The radius of the circle is the length of the minute hand∵ The minute hand in a clock is 17 cm long∴ r = 17 cm∵ The measure of the central angle is 72°∴ x = 72°- Substitute these values in the rule of the area of a sector∵ Area = [tex]\frac{72}{360}*\pi (17)^{2}[/tex]∴ Area = 181.58 cm²The area swept by the minute hand in 12 minutes is 181.58 cm²Learn more:You can learn more about the area of the sector in brainly.com/question/3456442 #LearnwithBrainly