$\frac{1}{2}(3.14)(3.9)^2$
Answer (2)
Square the radius: 3. 9 2 = 15.21 .
Multiply by π (approximated as 3.14): 15.21 × 3.14 = 47.7594 .
Divide by 2: 2 47.7594 = 23.8797 .
The final result is: 23.8797 .
Explanation
Problem Analysis We are asked to evaluate the expression 2 1 ( 3.14 ) ( 3.9 ) 2 . This involves squaring 3.9, multiplying by 3.14, and then dividing by 2.
Calculate 3.9 squared First, we calculate 3. 9 2 = 3.9 × 3.9 = 15.21 .
Multiply by 3.14 Next, we multiply the result by 3.14: 15.21 × 3.14 = 47.7594 .
Divide by 2 Finally, we divide the result by 2: 2 47.7594 = 23.8797 .
Examples
Understanding how to calculate the area of a circle is useful in many real-world situations. For example, if you're planting a circular garden, you need to know the area to determine how much soil to buy. Similarly, if you're calculating the amount of material needed to make a circular tablecloth, you need to know the area of the circle.
To solve 2 1 ( 3.14 ) ( 3.9 ) 2 , first, square 3.9 to get 15.21 , then multiply it by 3.14 for a result of 47.7594 and finally divide that by 2 to obtain 23.8797 .
;
