Ria takes Patna Rangoli competition in our school she makes four congruent circles as shown in the figure she decides to decorate her Rangoli with different colours and flower petals reference just have to cover the shaded portion of the rangoli by flowers petals find the area that is needed to be covered with flower Petals
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57 sq units area is needed to be covered with flower Petals
Step-by-step explanation:
radius of Each circle = 5
shaded portion of the rangoli = 8 arc segment of 90° angles - area of 8 right angle isosceles triangle (with side = radius)
= 8 ( (90/360)π r² - (1/2)*r*r )
= 8 ( (1/4)(3.14) * 5² - (1/2) * 5² )
= 8 * 5² ( 0.785 - 0.5)
= 200 (0.285)
= 57 sq units
area that is needed to be covered with flower Petals = 57 sq units
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