studyGeometry & Mensuration
CoreMaths revision

Circle Properties

Connect radius, chord, tangent, arc and sector relationships in circles.

Focus points
✓Use circle measurement formulas.
✓Apply tangent-radius properties.
✓Reason about arcs and sectors.
orin
Orin
The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · circumference
A circle has radius 7 cm. Find its circumference in terms of π.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · circle area
Find the area of a circle with diameter 12 cm.
Question 3FluencyCore
Original practice · Free Online Revision
Skill · arc length
A sector has angle 72° in a circle of radius 10 cm. Find its arc length.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · sector area
Find the area of a 120° sector of radius 9 cm.
Question 5FluencyCore
Original practice · Free Online Revision
Skill · tangent property
A tangent touches a circle at T and OT is a radius. What is angle between OT and the tangent?
Question 6FluencyCore
Original practice · Free Online Revision
Skill · equal tangents
From external point P, tangents PA and PB touch the same circle. If PA=13 cm, find PB.
Question 7ReasoningStretch
Original practice · Free Online Revision
Skill · chord geometry
A chord is 16 cm long and its perpendicular distance from the centre is 6 cm. Find the radius.
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · sector relation
A sector has area 24π cm² and arc length 8π cm. Find its radius.