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The diagram shows a sector of a circle radius 10 cm.

Find the perimeter of the sector, giving your answer correct to 1 decimal place.

The diagram shows a sector of a circle radius 10 cm. Find the perimeter of the sector-example-1
User Jumperchen
by
2.6k points

1 Answer

12 votes
12 votes

Answer:

P ≈ 43.6 cm

Explanation:

the perimeter (P) is the sum of the 2 radii and the arc

arc length = circumference of circle × fraction of circle

= 2πr ×
(135)/(360)

= 2π × 10 × 0.375

= 20π × 0.375

≈ 23.6 cm ( to 1 decimal place )

Then

P = 23.6 + 10 + 10 = 43.6 cm

User Omri Aharon
by
2.9k points