Area of a sector from radius with angle, arc length or perimeter (or the reverse)
This type of question, asked 5 times: CDS 1 2019, CDS 1 2020, CDS 1 2021, CDS 1 2023, CDS 1 2025. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 1 2019
28The area of a sector of a circle of radius 4 cm is 25.6 cm. What is the radian measure of the arc of the sector ?Tap an option to check your answer.
Question 2
CDS 1 2020
77Suppose a region is formed by removing a sector of from a circular region of radius 30 feet. What is the area of this new region ?Tap an option to check your answer.
Question 3
CDS 1 2021
73A sector is cut from a circle of radius 21 cm. If the length of the arc of the sector is 55 cm, then what is the area of the sector?Tap an option to check your answer.
Question 4
CDS 1 2023
90The perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm. What is the area of the sector ?Tap an option to check your answer.
Question 5
CDS 1 2025
84An arc AB of a circle subtends an angle x radian at the centre O. If the area of the sector AOB is equal to half of the square of length of arc AB, then what is x equal to ?Tap an option to check your answer.