Question

While studying the approximate shape and size of a sea wave, scientists arrived upon the following shape. What is the area (in m2)of the region that represents water if arcs BD and BF are quarter circles?
1) 5.365
2) 25
3) 30.365
4) 20

Answer 1

Answer:

Answer is 25

Mark as branilist please

Answer 2

Answer:

option (2)  25 m²

Step-by-step explanation:

ABEF & BCDE are squares with sides 5 m each

area of each square = a² =  5× 5 = 25 m²

area of sector EBD = $\frac{\theta \ \pi \ r^{2} }{360}$

                               = $\frac{90(3.14)5^{2} }{360}$

                               = 19.625 m²

area of sector EBD = area of sector ABF

then, area of shaded region EFB = 25 - 19.625 = 5.375 m²

area of the shaded region = area of EBD+ area of EFB

                                    = 19.625+ 5.375

                                    = 25 m²

answer: option (2)  25 m²