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

135°
11 cm

Perimeter of sector is 47.93 cm which is greater than 47.5 cm

Step-by-step explanation:

Mathematically, the perimeter of a sector is length of the arc plus 2 radii

The length of the arc is;

theta/360 * 2 * pi * r

where theta is the angle subtended by the arc at the center of the circle

Thus, we have

135/360 * 2 * 22/7 * 11 = 25.93

Add 2 radii = 25.93 + 2(11) = 47.93 cm

This is greater than what we are asked to calculate and thus we have shown what we are asked to show

the nearest power is 1.651.

means 7482 to the 1.651th power is almost equal to 2489287

step-by-step explanation:

it's 15