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

Hence the perimeter of the sector is 25.9 cm.

The perimeter of a sector with a central angle (θ) is given by:

Perimeter = (θ/360) × 2πr

Where r is the radius of the circle and θ is the central angle.

From the diagram attached, θ is 135°. Hence, the area of the sector is:

Perimeter = (θ/360) × 2πr

Perimeter = (135/360) × 2π(11)

Perimeter of sector = 25.9 cm

Hence the perimeter of the sector is 25.9 cm.

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The perimeter of the sectors is greater than 47.5 cm

Step-by-step explanation:

step 1

Find the circumference of the complete circle

The circumference of the circle is equal to

we have

substitute

step 2

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

step 3

Find the perimeter of the sectors

The perimeter is equal to

substitute

assume

therefore

The perimeter of the sectors is greater than 47.5 cm

don't report but were is the digram

step-by-step explanation: