Question

PLEASE HELP ASAP! WILL GIVE BRAINLIEST! The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each shaded part.

Answer 1

Answer:

Solution:- In the given figure

Side of square= 10 cm

area of square =  side x side m= 10 x 10 = 100 sq cm

Now , diameter of semi circle AOD = 2r = 10cm

⇒ radius of  semi circle AOD = 5 cm

∴ area of AOD =  

similarly Area of semicircle BOC =  

Area of white portion in figure 1 = area of square - [ area of semicircle BOD + area of semicircle AOD]

=

Total area of white portion in the given figure=

∴Area of Shaded portion = area of square - area of total white portion

=  

So the area of shaded portion is  

Now perimeter of AD(which is a semicircle) = (as perimeter of semicircle=πr)

So the perimeter of shaded region = 4×perimeter of AD=4×15.7=62.8cm

Step-by-step explanation: