From a circular card sheet of radius 28 cm, two circles of radii 7 cm and a rectangle of length 3 cm and breadth 2 cm are removed. Find the area of the remaining sheet.
Answers
Answer:
Step-by-step explanation:
total area of sheet = πr²
=22/7*28*28
=2464 cm²
area of 2 circles = 2*πr²
=2*22/7*7*7
=308 cm²
area of rectangle = 3*2
=6 cm ²
area of remaining sheet = area of total sheet - [area of 2 circles+area of rect.]
= 2464-(308+6)
=2150 cm²
The area of the remaining sheet is 2150 cm² if from a circular card sheet of radius 28 cm, two circles of radii 7 cm and a rectangle of length 3 cm and breadth 2 cm are removed
Given:
- A circular card sheet of radius 28 cm
- Two circles of radii 7 cm and a rectangle of length 3 cm and breadth 2 cm are removed.
To Find:
- The area of the remaining sheet.
Solution
- Area of circle = πr²
- where r = Radius of the circle
- π ≈ 22/7 or 3.14
- Area of a rectangle = length x breadth
Step 1:
Calculate area of sheet initially using r = 28 and π = 22/7
A = (22/7)(28)²
A = 2464 cm²
Step 2:
Calculate area of a circle cut using r = 7 and π = 22/7
(22/7)(7)²
= 154 cm²
Step 3:
Calculate area of rectangle cut
3 x 2
= 6 cm²
Step 4:
Calculate area of the remaining sheet.
2464 - 154 - 154 - 6
= 2150 cm²
The area of the remaining sheet is 2150 cm²
