Question

Calculate the area other than the area common between two quadrants of circles of radius 14cm each, which is shown as the shaded region in the adjoining figure. Use π=22/7

Answer 1

2

1. AREA = π r
2. 22/7 × (14×14)cm
3. 22/7 × 196cm
4. area= 616

Answer 2

Area of region other than the area common between two quadrants=$84cm^2$

Step-by-step explanation:

Radius of circle=14 cm

Side of square=14 cm

Area of square=$(side)^2$

Using the formula

Area of square=$(14)^2=196cm^2$

Area of quadrant=$\frac{1}{4}\pi r^2$

Using the formula

Area of quadrant=$\frac{1}{4}\times \frac{22}{7}\times (14)^2=154cm^2$

Area of 2 quadrant=$2\times 154=308cm^2$

Area of shaded region=Area of 2 quadrant-area of square

Area of shaded region=$308-196=112cm^2$

Area of region other than the area common between two quadrants=$196-112=84cm^2$

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