Question

the diagram shows a sector of a circle radius 11 cm show that the perimeter of the sector is greater than 47.5cm

Answer 1

Find the length of the arc of the sector

we know that

The circumference subtends a central angle of 360 The perimeter of the sectors is greater than 47.5

Find the circumference of the complete circle

Find the length of the arc of the sector

we know that

The circumference subtends a central angle of 360 degrees

so

using proportion

Find out the length of the arc by a central angle of 135 degrees

Find the perimeter of the sectors

The perimeter of the sectors is greater than 47.5 cm