What is the perimeter (in cm, rounded off to one decimal place) of the sector…
2024
What is the perimeter (in cm, rounded off to one decimal place) of the sector of a circle with a radius of 10 cm and of angle 30°?
(Use π = 3.14)
- A.
20.4
- B.
35.7
- C.
82.8
- D.
25.2
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Understand the Formula:
The perimeter of a sector is: Perimeter = Arc Length + (2 * Radius)
Calculate the Arc Length:
The formula for arc length is: (Angle / 360) * 2 * π * Radius
Given: Angle = 30°, Radius = 10 cm, π = 3.14
Arc Length = (30 / 360) * 2 * 3.14 * 10
Arc Length = (1 / 12) * 62.8
Arc Length ≈ 5.233 cm (rounded to 5.2 cm)
Calculate the Total Perimeter:
Perimeter = 5.2 cm + 10 cm + 10 cm
Perimeter = 25.2 cm
