the area of the circle is 460 cm²
Step-by-step explanation:
circumference of a circle = 2πr
r = radius
let π = 3.14
circumference of the circle = 76cm
76 = 2 × 3.14 × r
76 = 6.28× r
76 = 6.28r
76/6.28 = 6.28r/6.28
r = radius = 12.1cm
Diameter = 2 × 12.1cm = 24.2cm
Area of a circle = πr²
Area = 3.14 × (12.1)²
Area = 459.7 cm²
Approximately to the nearest whole number, the area of the circle is 460 cm²