- The problem requires finding the area of a shaded region within a square.
- The square has a side length of 10 cm.
- Inside the square, there are two quarter-circles, each with a radius of 10 cm, centered at opposite corners.
- The shaded region is the intersection of these two quarter-circles.
- The area of one quarter-circle is (1/4) * π * r² = (1/4) * π * 10² = 25π cm².
- The combined area of the two quarter-circles is 2 * 25π = 50π cm².
- However, this combined area counts the shaded region twice and also includes the entire square once.
- Therefore, the area of the shaded region is: (Area of two quarter-circles) - (Area of the square).
- Area of the square is 10 * 10 = 100 cm².
- Shaded area = 50π - 100 cm².
Parent Tip: Review the logic above to help your child master the concept of theme worksheet 6 answers.
