Question

find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. use 3.14 as an approximation for \\(\pi\\).

544 square meters
1,486 square meters
314 square meters
3,286 square meters

Explanation:

Calculate the area of the right triangle

We find the area of the right triangle using the formula:

$$ A_{\text{triangle}} = \frac{1}{2} \times \text{base} \times \text{height} $$

Given:

• \(\text{base} = 60\text{ m}\)
• \(\text{height} = 60\text{ m}\)

$$ A_{\text{triangle}} = \frac{1}{2} \times 60 \times 60 = 1800\text{ m}^2 $$

Calculate the area of the circle

Using the Circle Area knowledge point

$$
LATEXBLOCK0
$$

Calculate the shaded region area

Using the Area of Composite Figures knowledge point

$$
LATEXBLOCK1
$$

Answer:

• 544 square meters
• 1, 486 square meters (Correct answer)
• 314 square meters
• 3, 286 square meters