2D Shapes (Area and Perimeter)

Question 1

What is the formula for the area and perimeter of a rectangle?

Answer 1

Area = Length x Width
Perimeter = 2 x (Length x Width)

Question 2

What is the formula for the area and perimeter of a triangle?

Answer 2

Area = (Base x Height) ÷ 2
Perimeter = Side 1 + Side 2 + Side 3

Question 3

What is the formula for the circumference and area of a circle?

Answer 3

Area = π x radius^2
Circumference = π x diameter

Question 4

What is the formula for the area and perimeter of a trapezium?

Answer 4

Area = ((top + bottom) x height) ÷ 2
Perimeter = (All the sides added together)

Question 5

What is the formula for the area and perimeter of a sector of a circle?

Answer 5

Area = (Center Angle ÷ 360) x (π x radius)
Perimeter = (2 x radius) + (diameter x π) ÷ (Center Angle ÷ 360)

Question 6

Find the radius of a circle if a 20* arc on the circle has a length of 4π.

Answer 6

4π = 20 ÷ 360 x 2πr
36 = r
Answer: Radius = 36cm

Question 7

A trapezium has parallel sides of lengths 10 cm and 6 cm, and the height is 4 cm. What is the area of the trapezium?

Question 8

A circle has a radius of 5 cm. What is the circumference of the circle? What is the area of the circle? (Use 𝜋 =3.14)

Question 9

A right-angled triangle has a base of 8 cm and a height of 6 cm. What is the area of the triangle? Find the length of the hypotenuse.

Question 10

A parallelogram has a base of 15 cm and a height of 8 cm. What is the area of the parallelogram? If the length of one side of the parallelogram is 13 cm, what is the perimeter?

Question 11

A shape consists of a rectangle and a semicircle. The rectangle has a length of 12 cm and a width of 6 cm. The semicircle has a diameter equal to the width of the rectangle. What is the total area of the compound shape? (Use 𝜋 =3.14)

Answer 11

Rectangle: 12 x 6 = 72cm^2
Semicircle: (𝜋 x 3^2) ÷ 2 = 14.13 cm^2
72 + 14.13 = 86.13cm^2
The total area of this shape is 86.13cm^2.