Math, asked by shivamdixit9646, 11 months ago

Rita takes for rangoli competition in our school she makes four congruent circles as shown in the figure she decides to decorate for rangoli with different colours and flower petals han friend suggest her to cover the shaded portion of the rangoli by flower petals find the area that is needed to be covered with flower Petals ​

Answers

Answered by amitnrw
0

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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