find the area of shaded reign.
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From the picture, we can conclude that:
⇒ The diameter is the the length of the square
⇒ 14 - 3 - 3 = 8cm is the length of one diameter and 2 radii
Find the radius
1 diameter = 2 x radius
4 radius = 8 cm
1 radius = 2 cm
Find the area of the 4 semicircles.
4 semicircles = 2 whole circle
Area of 1 circle = πr²
Area of 1 circle = π(2)² = 4π cm²
Area of 2 circles = 4π x 2 = 8π cm²
Find the area of the small square in the middle:
Length of the square = Diameter
Length of the square = 2 x 2 = 4 cm
Area = Length x Length
Area of the square = 4 x 4 = 16 cm²
Find the area of the whole square:
Area = Length x Length
Area = 14 x 14 = 196 cm²
Find the area of the shaded region:
Area of the shaded region = 196 - 16 - 8π = 154.86 cm²
Answer: 154.86 cm²