find the area of shaded region full solution
Answers
Answer:-
★ Given:
- Length of rectangle = 60cm
- Breadth of rectangle = 40cm
- Diameter of circle = 20cm
★ To Find:
- Area of shaded region
★ Formula Used:
- Area of rectangle = length × breadth
- Radius of circle = Diameter ÷ 2
- Area of circle = πr²
★ Solution:
➲ Finding area of whole figure
Area of whole figure
= Area of rectangle
= length × breadth
= 60 × 40
= 2400 cm²
∴ Area of rectangle = 2400 cm²
➲ Finding radius of circle
Radius of circle
= Diameter ÷ 2
= 20 ÷ 2
= 10cm
∴ Radius of circle = 10cm
➲ Finding area of circle
Area of circle
= πr²
= π × (10)²
= π × 100
= 3.14 × 100
= 314 cm²
∴ Area of circle = 314 cm²
➲ Finding Area of shaded region
Area of shaded region
= Area of rectangle - Area of circle
= 2400 cm² - 314 cm²
= 2086 cm²
∴ Area of shaded region is 2086 cm²
Given that -
- Length of rectangle = 60 cm
- Breadth of rectangle = 40 cm
- Diameter of circle = 20 cm
To find -
- The area that had been shaded region .
Formula used in the question -
- Area of rectangle - length × bredth
- Radius of circle - Diameter ÷ 2
- Area of circle - Area of circle = πr²
Solution
==] Finding area of whole figure
Area of whole figure
=] Area of rectangle
=] length × breadth
=] 60 × 40
=] 2400 cm²
∴ Area of rectangle = 2400 cm²
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===] Finding radius of circle
Radius of circle
=] Diameter ÷ 2
=] 20 ÷ 2
=] 10cm
∴ Radius of circle = 10cm
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===] Finding area of circle
Area of circle
= πr²
= π × (10)²
= π × 100
= 3.14 × 100
= 314 cm²
∴ Area of circle = 314 cm²
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===] Finding Area of shaded region
Area of shaded region
= Area of rectangle - Area of circle
= 2400 cm² - 314 cm²
= 2086 cm²
Therefore , the shaded region is 2086 cm²
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