Question

length of a minute hand of a clock is 7 cm find the area swept by minute hand 7:00 a.m. to 7:35 a.m.

Answer 1

area of sector = theta/360° πr^2 . angle is 35×6° = 210° . therefore area swept is 210/360x 22/7×7×7= 89.83 cm^2

Answer 2

area of 360 ° = π ×r^2=π×7×7=49π

7 - 7:30

5 minute =30°

35 minutes =30×7=210°

Area of 360° = 49π

so area of 210° =
(49×22/7)×21/36
=7×22×21)/36
=89.83 sq cm.