Ncert solutions

Ncert solutions

Grade 7

Perimeter and Area | Exercise 11.3

Question 10

Q11) A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the leftover aluminium sheet? (Take \pi=3.14)

Solution 11:

Side of the square sheet= 6m

Area of the sheet= \left(Side\right)^2=\left(6\right)^2=36\ cm^2

Radius of the circle= 2cm

Area of the circle to be cut out= \pi r^2

=\frac{22}{7}\times2\times2=\frac{88}{7}cm^2

Area of the left over sheet

=36cm^2\ -\ \frac{88}{7}cm^2

=\frac{252-88}{7}cm^2=\frac{164}{7}cm^2

=23.44cm^2

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subject-cta

Question 10

Q11) A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the leftover aluminium sheet? (Take \pi=3.14)

Solution 11:

Side of the square sheet= 6m

Area of the sheet= \left(Side\right)^2=\left(6\right)^2=36\ cm^2

Radius of the circle= 2cm

Area of the circle to be cut out= \pi r^2

=\frac{22}{7}\times2\times2=\frac{88}{7}cm^2

Area of the left over sheet

=36cm^2\ -\ \frac{88}{7}cm^2

=\frac{252-88}{7}cm^2=\frac{164}{7}cm^2

=23.44cm^2

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