From a circular card sheet of radius 14 cm, two circles
of radius 7/2 cm, a rectangle of length 5 cm and breadth
3 cm, two rectangles of length 4 cm and breadth 2 cm
and a square of side 4 cm are removed. Find the area
of the remaining sheet.
Answers
Step-by-step explanation:
492 cm²
First calculate the area of the whole circle
Full circle
= pi × r²
= pi × (14 cm)²
= pi × 196 cm²
= 616 cm²
Calculate the area of 2 small circles
= 2 × pi × r²
= 2 × pi × (3.5 cm)²
= 2 × pi × 12.25 cm²
= 77 cm²
Calculate area of 2 rectangles
= 2 × base × height
= 2 × 4 cm × 2 cm
= 16 cm²
Calculate area of one rectangle
= base × height
= 5 cm × 3 cm
= 15 cm²
Calculate area of square
= side²
= (4 cm)²
= 16 cm²
Now add all the areas except the main circle
= 77 cm² + 16 cm² + 15 cm² + 16 cm²
= 124 cm²
Subtract this added area from the area of the main circle
= 616 cm² - 124 cm²
= 492 cm²
Step-by-step explanation:
Area of whole circle =pi × r²
= pi ×14cm²
= pi × 196cm²
= 616cm²
Area of 2 small circles = 2 × pi × r²
= 2 × pi × 3.5cm²
= 2 × pi × 12.25 cm²
Area of 2 small rectangles = base × height
= 2 × 4cm × 2cm
= 16cm²
Area of 1 big rectangle = base × height
= 5cm × 3cm
= 15cm²
Area of square = side²
= 4cm²
= 16 cm²
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