Pass Check: Geometry & Angles
Angle facts, polygon angle sums, and area/perimeter formulae underpin every shape question.
Polygon
A closed 2D shape with straight sides; regular means all sides and angles equal.
Interior angle
The angle inside a polygon between two adjacent sides.
Exterior angle
The angle between a side of a polygon and the extension of the next side; exterior angles of any polygon sum to 360 degrees.
Sector
A pie-slice shaped region of a circle bounded by two radii and an arc.
Quick check
Mixed quiz
1. A rectangle measures 10 cm by 6 cm. Calculate its area.
2. Two angles in a triangle are 35° and 55°. Calculate the third angle.
3. A cylinder has radius 3 cm and height 9 cm. Calculate its volume to 1 decimal place.
4. A cylinder has radius 7 cm and height 7 cm. Calculate its volume to 1 decimal place.
5. A right-angled triangle has shorter sides of 24 cm and 32 cm. Calculate the length of the hypotenuse.
6. A cylinder has radius 5 cm and height 8 cm. Calculate its volume to 1 decimal place.
7. Two angles in a triangle are 45° and 60°. Calculate the third angle.
8. Complete the sentence: Angle greater than 90° but less than 180° is called ______.