Question

From a circular card sheet of radius 7cm two triangles of height
3cm and base 2cm and a rectangle of length and breadth 3cm and
2cm respectively are removed as shown in the figure.

Answer 1

Answer:

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E. 1. Write a letter to the Editor of 'Times of India',

regarding the condition of bad roads in your locality.

Answer 2

Given :

Radius of the circular card = 7 cm

Height of the triangle = 3 cm

Base of the triangle = 2 cm

Length of the rectangle = 3 cm

Breadth of the rectangle = 2 cm

To Find :

Area of the remaining card.

Solution :

Area of the circular card = π×(radius)²

                                        = π × 7²

                                        = 49π

                                        = 49 × $\frac{22}{7}$

                                        = 154 cm²

Area of the two triangles = 2 × ($\frac{1}{2}$ × base × height)

                                           = 2 × $\frac{1}{2}$ × 2 × 3

                                           = 6 cm²

Area of the rectangle = Length × Breadth

                                     =  3 × 2

                                     = 6 cm²

Area of the remaining portion = 154 - (6 + 6)

                                                  = 154 - 12

                                                  = 142 cm²

Therefore, the area of the remaining portion of the card is 142 cm².

Note : The question is incomplete. It should be -

From a circular card sheet of radius 7cm two triangles of height

3cm and base 2cm and a rectangle of length and breadth 3cm and

2cm respectively are removed as shown in the figure. Find the area of the remaining portion.