1. Find the radius of the large circle
The diameter of the large circle is made up of the bases of 3 quarter circles.
Diameter =3×8=24 cm
Radius of large circle =24÷2=12 cm
2. Calculate the area of the large circle
Area of large circle=π×122=144×3.14=452.16 cm2
3. Calculate the total area of the 6 quarter circles
Area of 6 quarter circles=6×41×π×82=1.5×64×3.14=96×3.14=301.44 cm2
4. Find the area of the shaded part
Shaded area=Area of large circle−Area of 6 quarter circles
Shaded area=452.16−301.44=150.72 cm2
答案150.72 cm2