Question

let ABC be a triangle with perimeter P and area A. now R is any point in the triangle or on the boundary of triangle. There is a point S in the plane of figure (that is the point can be inside as well as outside the triangle) such that RS<=5 . now find area enclosed by the region by LOCUS OF point S.

Answer 1

my locus

Answer 2

how to calculate area of those arcs at 3 corners?

Answer 3

@AnswerMyQuestions ? @HelpBlahBlahBlah ?

Answer 4

till now iam getting 5P+A+(area of 3 circular arcs)

Answer 5

@phi ? @Zarkon ?

Answer 6

@radar ?

Answer 7

the 3 "corners" will have angles = angle of the triangle's angle
all will have radius 5
the sum of the 3 angles = 180
the curved parts will add up to 1/2 of the area of a circle with r= 5

Answer 8

from that we will get 12.5 pie

Answer 9

but ans is 25 pie

Answer 10

Let me tweak that to this