Practice

A rectangle has sides 7 m and 5 m. Find the boundary length and explain why both sides are counted twice.

A circle has diameter 14 cm. Give its exact circumference, then estimate using π ≈ $\frac{22}{7}$.

A student writes π = 3.14 because the first three digits agree. Correct the statement and explain.

A 90° sector has radius 4 cm. Give the exact arc length and exact sector perimeter.

Two semicircles have diameters 4 cm and 6 cm. Compare their combined arc length with a semicircle of diameter 10 cm.

Two parallelograms each have base 8 cm; their perpendicular heights are 3 cm and 5 cm. Compare their areas.

A triangle has base 12 m and height 5 m. A median meets that base. Find each smaller area.

Can sides 2, 3 and 6 form a triangle? Explain before using a formula.

Use the construction lengths for a = 9 and b = 4. What is the new square’s side?

A quadrant has radius 4 cm. Give its exact area and explain the fraction used.