Area of Shaded Region
Area of Shaded Region
Area of shaded region
We will calculate the area of different figures separately. Then we will calculate the area collectively. We come across these types of figures in our daily life and also in the form of various interesting designs. Flower beds, drains covers, window designs, designs on table covers,are some of such examples. We illustrate the process of calculating areas of figures through some illustration.
Illustration: Find the area of the shaded region in figure.
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Solution Area of semi circle is half of the area of a circle Area of shaded region = area of semicircle with radius 14 cm + 2 [ area of semicircle with radius 7 cm] |
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Illustration: Find the area of the shaded region
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Solution:ABCD is a square with side 14 cm. Area of the square As there are two circles in one row, The diameter of two circles= 14 cm Diameter of one circle = 7 cm Hence, the area of the shaded region in the given figure = area of square - area of four circles = 196 - 154 = 42 sq cm |
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Illustration: In the figure, ABC is a quadrant of a circle of radius 7 cm and a semicircle is drawn with BC as diameter. Find the area of the shaded region.
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