Math, asked by muskaanpandey331, 3 months ago

heyy guys
answer my question...
correct answer will be marked brainlist...​

Attachments:

Answers

Answered by assingh
22

Topic

Mensuration

Given

There is a figure with a quadrant of a Circle with

  • Radius 7 cm.

Inside the quadrant there is a triangle with

  • base = 7cm and
  • height = 2 cm.

To Find

The area of shaded region.

Formula to be Used

Area of a Quadrant of a Circle = πr² / 4

where,

r is Radius of Circle and

Area of a Triangle = ( Base × Height ) / 2

Solution

Area of shaded region = Area of Quadrant of Circle - Area of Triangle

So,

Area of quadrant of a Circle with r = 7 cm

= πr² / 4

= π( 7 )² / 4

= 22/7 × 7 × 7 × 1/4

= 38.50 cm²

Area of Quadrant of Circle is 38.50 cm².

Now,

Area of Triangle = ( 7 cm × 2 cm ) / 2

Area of Triangle = 7 cm²

Area of Triangle is 7 cm².

Now, applying

Area of Shaded Region = Area of Quadrant of Circle - Area of Triangle

Area of Shaded Region = ( 38.50 - 7 ) cm²

Area of Shaded Region = 31.50 cm²

Answer

Area of the Shaded Region is 31.50 cm².

Similar questions