A worksheet on area of circles and sectors of circles. In the exercises the students are required to find the area of a circle given its diameter or radius, find the radius or diameter of a circle given its area, find the area of circle sectors and find the area of shapes containing sectors of circles. There are sixteen problems.
Detailed solutions are included.

Master calculating circle areas with this comprehensive, no-prep 16-question area of circles, sectors, and shaded regions maths worksheet!

Calculating circular areas can become confusing when moving beyond standard shapes. This carefully scaffolded activity resource guides learners from baseline formulas up to advanced multi-step shaded annulus regions and partial rings.

Perfect for secondary maths classes, independent homework assignments, extension work, sub plans, or GCSE exam revision!

What’s Included:

• Student Activity Worksheet: 16 neatly organized, spacious questions with dedicated boxes for students to show their formulas and geometric working.
• Complete Step-by-Step Answer Key: Every single problem features fully worked-out calculations using Pi to show exactly how the final decimal answers were reached—ideal for fast teacher marking or student self-assessment!

Skills Covered & Question Progression:

• Questions 1–2: Calculating full circle area when given a starting radius or diameter.
• Questions 3–5: Multi-step problems finding full area after solving for the radius using a given circumference or length.
• Questions 6–8: Working backward to find a circle’s radius or total circumference when given its overall area or a sector’s area.
• Questions 9–13: Calculating the exact area of a circular sector given a central angle, radius, or arc length.
• Questions 14–16: Advanced composite problem-solving requiring students to subtract the inner area from the outer area to find the total shaded region.

Perfect For:

• Key Stage 3 (KS3): Year 7, 8, and 9 foundational geometry building and extension work.
• Key Stage 4 (KS4): Year 10 and 11 GCSE Foundation and Higher tier geometry revision.
• Functional Skills Maths: Level 2 space and shape practice.

Curriculum Alignment (UK National Curriculum & GCSE):

• Geometry & Measures: Identify and apply circle definitions and properties, including: centre, radius, diameter, circumference, tangent, arc, sector and segment.
• Geometry & Measures: Calculate arc lengths, angles and areas of sectors of circles.

No prep required! Just print and use!