Final answer:
To find the area of a circle with a diameter of 14 m, you calculate πr² using the radius of 7 m. Multiplying π by 49 m² gives 153.9380403 m², which rounds to 153.9 m².
Step-by-step explanation:
The diameter of a circle is 14 m, and we want to find its area to the nearest tenth. We can use the formula for the area of a circle, which is A = πr², where π is approximately 3.1415927, and r is the radius of the circle. To find the radius, we halve the diameter, so the radius is 7 m. Therefore, the area A is:
A = π × (7 m)²
Using the value of π and squaring the radius:
A = 3.1415927 × 49 m²
A = 153.9380403 m²
Rounding to the nearest tenth gives us an area of 153.9 m².