Question

The radius of the circle below is 27 mm.

Calculate the area of the circle.
Give your answer in mm² to 1 d.p.
area =
27 mm
mm²

Answer 1

To calculate the area of a circle with a radius of 27 mm, use the formula A = πr², resulting in 2289.3 mm² when rounded to one decimal place to match the precision of the given radius.

Step-by-step explanation:

To calculate the area of a circle, the formula A = πr² is used, where 'A' represents the area and 'r' is the radius of the circle. Given that the radius of the circle is 27 mm, we can substitute this value into the formula to find the area.

A = π * (27 mm)²

A = 3.1415927... * (729 mm²)

A = 2289.28088 mm²

However, since the radius was given to two significant figures, the final answer should also be presented with the same level of precision. Therefore, the area of the circle, rounded to one decimal place, is 2289.3 mm².

Answer 2

Answer:Therefore, the area of the circle with a radius of 27 mm is approximately 2286.2 mm².

Step-by-step explanation:Area = π * r^2

Where:

π (pi) is approximately 3.14159

r is the radius of the circle

In this case, the given radius is 27 mm. Plugging the value into the formula, we have:

Area = 3.14159 * (27 mm)^2

Calculating this:

Area ≈ 3.14159 * (27 mm * 27 mm)

Area ≈ 3.14159 * 729 mm²

Area ≈ 2286.19359 mm²

Rounding the area to one decimal place: