find the area of shaded region in each fallowing?
Answers
Answer:first take picture correctly
Your pictures are very clear frnd ✌
here are your answers
Step-by-step explanation:
Area of circle = πr²
(a) Smaller circle has diameter 7m
which implies it's radius is 3.5m (half of diameter)
So it's area = (22/7) * 3.5 * 3.5 = 38.5 m²
Now, in Bigger circle
r = 7 + 3 5
r = 10.5 m
So it's area = (22/7) * 10.5 * 10.5 = 346.5 m²
The area of shaded region is Area of bigger circle minus area of smaller circle
= 346.5 - 38.5
= 308 m²
(b) Diameter of big circle is 14cm, which implies it's radius is 7cm
it's area is (22/7) * 7 * 7 = 154 m²
The two small circles have each diameter 3.5cm
their radius are each 3.5/2 = 1.75 cm
So area of one small circle is
= (22/7) * 1.75 * 1.75
= 9.625 cm²
which implies area of two small circles are
= 2(9.625)
= 19.25 cm²
The area of shaded area
= 154 - 19.25 = 134.75 cm²
(c) The diameter of semi circle is 14cm
which implies that it's radius is 7cm
It's area is (22/7) * 7 * 7 = 154 cm²----(i)
The diameter of small circle is 7cm
which implies it's radius is 3.5cm
so it's area is (22/7) * 3.5 * 3.5 = 38.5 cm²----(ii)
The total area of shaded region is (i) + (ii)
= 154 + 38.5
= 192.5 cm²