Four circles of diameter d cm are arranged in such a way that they touch each other A square - Maths - Surface Areas and Volumes

Question

Four circles of diameter d cm are arranged in such a way that
they touch each other A square is formed by joining the centers of
the four circles What is the area of the shaded part?

A) d² (1-π)
B) d² (4-π)
â€‹C) d²/4 - πd²/4
â€‹
â€‹D) d² - πd²/4

Shruti Tyagi · Accepted Answer

Dear student,
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a564f5212d13%20png"
style="width: 321px; height: 286px;">
Diameter of circle =dArea of 4 sector=4×90360×πd22=4×π4×d24=πd24Side of square=radius of circle I+radius of circle II=d2+d2=dArea of square=side2=d2Area of shaded region=Area of square-Area of 4 sector=d2-πd24

Regards

Four circles of diameter d cm are arranged in such a way that they touch each other. A square is formed by joining the centers of the four circles. What is the area of the shaded part? A) d² (1-π) B) d² (4-π) ​C) d²/4 - πd²/4 ​ ​D) d² - πd²/4

Four circles of diameter d cm are arranged in such a way that they touch each other. A square is formed by joining the centers of the four circles. What is the area of the shaded part?

A) d² (1-π)
B) d² (4-π)
C) d²/4 - πd²/4
D) d² - πd²/4