Practice SL 3.4—The circle, arc and area of sector, degrees only with authentic IB Mathematics Applications & Interpretation (AI) exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of IB examiners.
A circular garden has a radius of 7 m . A path runs along a quarter of the perimeter.
Find the length of the path.
The arc length of a sector is 20 cm and the radius is r .
If the central angle is , find r.
A circular track has radius 25 m . A runner jogs along a path that covers an angle of .
Calculate the distance the runner travels.
A circular sign has a shaded sector with angle .
If the radius is , find the length of the arc.
The arc length of a sector is 18.85 cm and the angle is .
Find the radius of the circle.
A rotating wheel has a radius of 0.5 m . A mark on the rim travels along an arc of 1.75 m .
Estimate the angle the wheel has rotated through in degrees, and how many full rotations this represents.
A sector has a radius and subtends an angle of .
If the arc length is , find the value of .
A sector has an arc length of 15 cm and an angle of .The radius of the circleis 12 cm .
Find , and classify it as a cut.
A sector of a circle has a radius of . The central angle of the sector is degrees.
Given that the perimeter of the sector is 30 cm , find the arc length of the sector.
Calculate the arc length of a circle with radius 10 cm and central angle
Calculate the arc length of a circle with radius 10 cm and central angle