Problem:
Manny painted a 4 sided figure inside a circle whose radius measure 30 cm. Each side of the 4 sided figure he painted measures 13 cm. What is the figure that Manny painted? What is the area of circle that is not painted?
Solution:
Area that is not painted = Area of circle - Area of square
Area that is not painted = πr² - s²
Area that is not painted = π(30²) - 13²
Area that is not painted = 2,827.43 - 169
Area that is not painted = 2658.43 cm²
Question:
What is the figure that Manny painted?
Answer:
Tthe figure that Manny painted is a square because the clue says "Each side of the 4 sided figure he painted measures 13 cm."
Question:
What is the area of circle that is not painted?
Answer:
area of circle that is not painted = 2658.43 cm²
Problem 2:
diameter of semicircle = 9 - 3 - 2 = 4
radius = 4/2 = 2
Total Area = Area of semicircle + Area of rectangle
Total Area = πr²/2 + bh
Total Area = π(2²)/2 + 9(2)
Total Area = π(4)/2 + 18
Total Area = 2π + 18
Total Area = 6.28 + 18
Total Area = 24.28 cm²
Problem 3:
Calculate the shaded region. Show only your solution.
Solution:
Area (blue) = Area of triangle - Area of square
Area (blue) = 1/2(bh) - s²
Area (blue) = (1/2)(10)(8.7) - 2²
Area (blue) = 43.5 - 4
Area (blue) = 39.5 cm²
#CarryOnLearning
