Learning Task 2 Directions: Follow the steps discussed in the lesson in solving the following problems. Use pi = 3.14Wo your answers on a piece of paper. 1. A circle is inscribed with a 7 meter square. What is the area, in square meter, of the shaded region r = 3.5m 2. May and John are planning to build a veranda like the figure as shown below. The semi-circle shaped part of the veranda will be covered with grass because they want to put a pocket garden while the rest of the veranda will be covered with files. What is the total area of the veranda that will be covered with files and grass? 5m
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Answer:
1. 10.53 m²
2. 30 m² for the tiles and 14.13 m² for the grass
Step-by-step explanation:
for number 1 you just need to subtract the area of the circle from the area of the square.
Area of the square
A = s²
A = (7 m)²✨
A = 49 m²
Area of the circle
A = πr²
A = (3.14)(\frac{7}{2}
2
7
m)²
A = (3.14)(3.5 m)²
A = (3.14)(12.25 m²)
A = 38.47 m²
49 m² - 38.47 m² = 10.53 m²
for number 2:
Area of the rectangle
A = l x w
A = 6 m x 5 m
A = 30 m²
Area of the semi -circle
A = πr²/2
A = (3.14)(\frac{6}{2}
2
6
m)²/2
A = (3.14)(3 m)²/2
A = (3.14)(9 m²)/2
A = 28.26 m²/2
A = 14.13 m²
Therefore, the area that will be covered with tiles is 30 m².
Therefore, the area that will be covered with grass is 14.13 m².
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