Question

Helen has a garden in the shape of a circle of diameter 20 m.
She is going to cover all the garden with grass seed to make a lawn.
Grass seed is sold in boxes.
Each box of grass seed will cover 58 m² of garden.
a) Taking it to be 3.14 work out the area of the garden in m? (2)
20 m
b) Work out an estimate for the number of boxes of grass seed Helen needs.
To find your estimate, round each of the numbers in your working
to 1 significant figure. You must show your working. (2)
c) Your estimate for b) is
(1)
A an overestimate B an underestimate C could be either.
Total marks: 5

Answer 1

a. The area of the garden is 314m².

b. The number of boxes of grass Helen needs is 5 boxes.

c. My estimate for b is an underestimate.

A circle is a bounded object with points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π = pi = 3.14

R = radius = diameter / 2 = 20m / 2 = 10m

3.14 x 10² = 314m²

Number of boxes needed to cover the garden = area of the garden / coverage of one box

314m² / 58m² = 5.14

5 boxes to one significant figure.

To learn more about the area of a circle, please check: https://brainly.com/question/21979774?referrer=searchResults

Answer 2

a. The area of the garden is 314m².

b. The number of boxes of grass Helen needs is 5 boxes.

c. My estimate for b is an underestimate.

A circle is a bounded object with points from its center to its circumference that is circumferenced equidistant.

Area of a circle = πr²

Where : π = pi = 3.14

R = radius = diameter / 2 = 20m / 2 = 10m

3.14 x 10² = 314m²

Number of boxes needed to cover the garden = area of the garden / coverage of one box

314314m² / 58m² = 5.14

5 boxes to one significant figure.