A cow is tied with a rope of length 7 cm at the corner of a triangular field with each - Maths - Areas Related to Circles

Question

A cow is tied with a rope of length 7 cm at the corner of a
triangular field with each side 15cm If the length of the rope is
increased by 4 5 m , find the area of the field in
which the cow can graze

Ajanta Trivedi · Accepted Answer

the length of the side of triangular
field is 15 cm
since all the sides of triangular field are equal, therefore
triangle is an equilateral triangle
therefore internal angle is of 60 deg
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/images/pic1(30)%20png"
style="width: 323px; height: 219px;">
if the length of the rope is 7 cm
the area of the field that cow can graze =
π*72*60360=227*7*7*16=773 cm2
if the length of the rope is increased by 4 5 cm
the increased length = 7+4 5 = 11 5 cm
therefore the area of the field that cow can graze
=π*(11 5)2*60360=227*11 5*11 5*16=69 2738 cm2

hope this helps you
the area

A cow is tied with a rope of length 7 cm at the corner of a triangular field with each side 15cm. If the length of the rope is increased by 4.5 m , find the area of the field in which the cow can graze.