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Answers
Answer:
Area of the shaded figure is 246 cm^2
Step-by-step explanation:
From the properties of quadrilaterals & circles :
- Area of rectangle = length x breadth
- Area of circle = πr^2 , where r is the radius of the circle
- Area of four quadrants of same radius = area of the circle formed of the same radius
= > Area of the shaded figure = Area of rectangle - area of 4 quadrants
= > Area of the shaded figure = ( 25 cm x 16 cm ) - π( 7 cm )^2 { area of quadrants of radius 7 cm = area of circle of radius 7 cm }
= > Area of the shaded figure = 400 cm^2 - 49π cm^2 = 400 cm^2 - 49( 22 / 7 ) cm^2
= > Area of the shaded figure = 400 cm^2 - 154 cm^2
= > Area of the shaded figure = 246 cm^2
Hence, area of the shaded figure is 246 cm^2.
Given :---
- Length of Rectangular Paper sheet = 25cm.
- Breadth of Rectangular Paper sheet = 16cm.
- Radius of Quadrant = 7cm.
To Find :----
- Shaded Area ?
Formula and Concept used :---
→ Area of Rectangle = Length * Breadth .
→ Four Quadrant of same radius will make One Circle with same radius .
→ Shaded Area = Area of Rectangle - Area of Circle with radius Equals to Radius of Quadrant .
______________________________
Solution :---
Putting values we get now,
→ Shaded Area = Area of Rectangle - Area of Circle with radius Equals to Radius of Quadrant .
→ shaded Area = ( 25 * 16 ) - ( 22/7 * 7 * 7 )
→ shaded Area = 400 - 154
→ Shaded Area = 246 cm² ..
Hence, Area of Shaded region inside Paper is 246cm².