If a circle has a radius of 6.4 meters.what is the area of the circle in square meters rounded to the nearest tenth meter?

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Answer 1 · 2018-04-18T01:00:05

#"128.6 m"^2#

Area of circle is given by

#"A" = pir^2#

#"A" = 3.14 × ("6.4 m")^2 = "128.614 m"^2 ≈ color(blue)("128.6 m"^2)#

Answer 2 · 2018-04-18T01:05:23

The area of the circle is approximately 128.7 square metres.

The formula for the area of a circle is #pi*r^2#, where r is the radius of the circle.

Plug in 6.4 metres for #r#, and we get 128.679635... square metres.

This number is irrational. Let's round it to the nearest tenth of a square metre by truncating the number at the hundredth place.

To truncate a number essentially means to "chop off" everything past the decimal place that you specify.

128.67 square metres

Because the digit in the hundredths place is greater than or equal to 5, we round up the tenths place to a 7.

128.7 square metres