Area Of A Sector -Multiple Choice Questions Quiz

Interactive MCQs on Area Of A Sector:

Solve the following 10 questions. Only one option is correct. Click on the “Submit” button when done. Click on the “embed” button to use this quiz on your website. Click on “WhatsApp” to share this quiz.

Question 1: What is the formula to calculate the area of a sector with radius 'r' and central angle 'θ' (in radians)?

(a) Area = r × θ
(b) Area = 2 × π × r × θ
(c) Area = 0.5 × r^2 × θ
(d) Area = (θ/360) x π × r^2

Question 2: A sector has a central angle of 45 degrees (π/4 radians) and a radius of 8 meters. What is its area?

(a) 8 square meters
(b) 16 square meters
(c) 32 square meters
(d) 64 square meters

Question 3: In a circle of radius 10 cm (0.1 m), a central angle of 60 degrees (π/3 radians) subtends an arc. What is the area of the sector formed by this angle?

(a) π/300 square meters
(b) π/600 square meters
(c) 30π square meters
(d) 40π square meters

Question 4: If the area of a sector is 25 square units and the radius is 5 units, what is the measure of the central angle (in radians)?

(a) π radians
(b) 2 radians
(c) 6π radians
(d) 14 radians

Question 5: The area of a sector of a circle is 100π square inches, and the central angle is 90 degrees (π/2 radians). What is the radius of the circle?

(a) 5 inches
(b) 10 inches
(c) 20 inches
(d) 50 inches

Question 6: In a circle, the area of a sector is one-fourth of the entire circle's area. What is the measure of the central angle (in radians)?

(a) π/2 radians
(b) π radians
(c) 2π radians
(d) 4π radians

Question 7: A sector of a circle has a central angle of 120 degrees (2π/3 radians) and an area of 108π square units. What is the radius of the circle?

(a) 3 units
(b) 6 units
(c) 9 units
(d) 18 units

Question 8: If the area of a sector is 64π square centimeters and the central angle is 900 degrees (π/2 radians), what is the radius of the circle?

(a) 4 centimeters
(b) 8 centimeters
(c) 16 centimeters
(d) 32 centimeters

Question 9: The area of a sector is 100π square units, and the central angle is 360 degrees (2π radians). What is the radius of the circle?

(a) 5 units
(b) 10 units
(c) 20 units
(d) 50 units

Question 10: In a circle with radius 6 meters, a sector's area is 36π square meters. What is the measure of the central angle (in radians)?

(a) π/6 radians
(b) π/3 radians
(c) 2π radians
(d) π radians