Mathematics Question and Solution
Notice;
Diameter of the ascribed semi circle is 20 cm.
Radius, r will be 10 cm.
Calculating Area Shaded.
It will be;
Area half circle with radius 10 cm - 2(area semi circle with radius 5 cm) - Area sector with radius 5 cm and angle 60° + 2(area sector with radius 5 cm and angle 60°) - 2(area triangle with two equal lengths 5 cm each and the angle they form, 60°)
= ½(100π)-2(½*25π)-⅙(25π)+2(⅙*25π)-2(½*25*(½√(3)))
= 50π-25π-⅙(25π)+⅓(25π)-½(25√(3))
= 25π-⅙(25π)+⅓(25π)-½(25√(3))
= ⅙(150π-25π+50π-75√(3))
= ⅙(175π-75√(3)) cm²
= 25(7π-3√(3))/6 cm²
= 69.97915063509 cm²
= 70 cm²
