A circular window has a radius of 0.21 m; find the total surface area of the window.Round your answer to the nearest hundredth. Do not type the units in the space below.
Question
A circular window has a radius of 0.21 m; find the total surface area of the window.Round your answer to the nearest hundredth. Do not type the units in the space below.
Solution
The formula for the surface area of a circle is A = πr², where r is the radius of the circle.
Step 1: Substitute the given radius into the formula. The radius r is 0.21 m.
A = π(0.21 m)²
Step 2: Square the radius.
A = π(0.0441 m²)
Step 3: Multiply the squared radius by π.
A = 0.1385 m²
So, the total surface area of the window is approximately 0.14 m² when rounded to the nearest hundredth.
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