Lesson G18
G18 Arc lengths, sector angles and sector areas Quiz: AQA Maths, Unit 4
20 questions
In partnership with Revision Ninja
Lesson G18, Arc lengths, sector angles and sector areas: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 4: Geometry and measures, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
A sector has radius 6 cm and angle 60 degrees. What is its arc length, in terms of π?
- π cm
- 2π cm
- 12π cm
- 6π cm
-
A sector has radius 6 cm and angle 60 degrees. What is its area, in terms of π?
- 3π cm²
- 6π cm²
- 12π cm²
- 36π cm²
-
A sector has radius 10 cm and angle 90 degrees. Using π = 3.14, what is its arc length?
- 15.7 cm
- 31.4 cm
- 25.1 cm
- 7.85 cm
-
A sector has radius 10 cm and angle 90 degrees. Using π = 3.14, what is its area?
- 157 cm²
- 314 cm²
- 39.3 cm²
- 78.5 cm²
-
A sector has radius 4 cm and angle 135 degrees. What is its arc length, in terms of π?
- 8π cm
- 3π cm
- 1.5π cm
- 4.5π cm
-
A sector of radius 10 cm has arc length 5π cm. What is its angle?
- 90 degrees
- 180 degrees
- 60 degrees
- 45 degrees
-
A sector has radius 9 cm and angle 40 degrees. What is its area, in terms of π?
- 18π cm²
- 9π cm²
- 81π cm²
- 4.5π cm²
-
A sector has an area of 16π cm² and an angle of 90 degrees. What is its radius?
- 32 cm
- 16 cm
- 4 cm
- 8 cm
-
A sector has radius 5 cm and angle 72 degrees. What is its perimeter in exact form?
- (π + 10) cm
- (10π + 2) cm
- (2π + 5) cm
- (2π + 10) cm
-
Which formula gives the arc length of a sector with angle θ and radius r?
- (θ/360) × 2πr
- θ × r²
- (θ/360) × πr²
- (θ/180) × πr
-
Which formula gives the area of a sector with angle θ and radius r?
- (θ/180) × r²
- θ × πr
- (θ/360) × 2πr
- (θ/360) × πr²
-
A sector has radius 12 cm and angle 30 degrees. Using π = 3.14, what is its arc length?
- 6.28 cm
- 3.14 cm
- 37.7 cm
- 12.56 cm
-
A sector has radius 3 cm and angle 120 degrees. What is its area, in terms of π?
- 9π cm²
- 6π cm²
- 3π cm²
- π cm²
-
A sector of radius 6 cm has arc length 4π cm. What is its angle?
- 120 degrees
- 60 degrees
- 30 degrees
- 240 degrees
-
A sector has angle 80 degrees and arc length 8π cm. What is its radius?
- 6.4 cm
- 9 cm
- 18 cm
- 36 cm
-
(H) A sector has an area equal to a quarter of a circle of radius 8 cm. What is the sector area, in terms of π?
- 64π cm²
- 8π cm²
- 32π cm²
- 16π cm²
-
A sector of angle 150 degrees has arc length 5π cm. What is its radius?
- 12 cm
- 6 cm
- 5 cm
- 30 cm
-
What is the arc length of a sector with radius 2 cm and angle 180 degrees, in terms of π?
- π cm
- 2π cm
- 8π cm
- 4π cm
-
Which is longer, the arc or the chord joining the same two points on a circle?
- They are only equal for semicircles
- The chord is always longer than the arc
- The arc is always longer than the chord
- They are always equal
-
A slice of pizza is a sector with angle 45 degrees and radius 12 cm. What is its area, in terms of π?
- 144π cm²
- 36π cm²
- 9π cm²
- 18π cm²
Related quizzes
- Geometric terms, notation and drawing from description Quiz · G1 · 20 questions
- Ruler and compass constructions and loci Quiz · G2 · 20 questions
- Angle facts at a point, on a line, parallel lines and triangles Quiz · G3 · 20 questions
- Properties of quadrilaterals, triangles and polygons Quiz · G4 · 20 questions
- Congruence criteria for triangles (SSS, SAS, ASA, RHS) Quiz · G5 · 20 questions
- Geometric reasoning, simple proofs and Pythagoras' theorem Quiz · G6 · 20 questions
- Congruence and similarity by rotation, reflection, translation and enlargement Quiz · G7 · 20 questions
- Combinations of rotations, reflections and translations Quiz · G8 · 20 questions
- Circle definitions and properties Quiz · G9 · 20 questions
- Circle theorems and proofs Quiz · G10 · 20 questions