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What is the area shaded in the region?

What is the area shaded in the region?-example-1
User ColdCold
by
3.6k points

2 Answers

3 votes

Answer:

3rd option

50cm2

Explanation:

50cm2

explanation is given above

User Diogo Rodrigues
by
3.3k points
6 votes

Answer:

Option C

The Area Of Shaded Region is 50.2 cm²

Explanation:

For A given Circle,

For Small (Non-Shaded) Circle:

Diameter (d) = 6 cm

Radius = d ÷ 2 = 6/2 = 3 cm

For Area of Small (Non-Shaded) Circle

Formula:

A = πr²

A = 3.14 × (3)² cm

A = 3.14 × 9 cm

A = 28.26 cm²

For Area of Big (Shaded) Circle:

Diameter (d) = 10 cm

Radius = d ÷ 2 = 10/2 = 5 cm

For Area of Small (Non-Shaded) Circle

Formula:

A = πr²

A = 3.14 × (5)² cm

A = 3.14 × 25 cm

A = 78.5 cm²

For The Area Of Shaded Region

Area of Big Circle - Area of Small Circle

78.5 cm² - 28.26 cm² = 50.24 cm²

Thus, The Area Of Shaded Region is

50.2 cm²

-TheUnknownScientist

User Jon Sampson
by
3.9k points