an arc of a circle of length 7 pie and sector it bounds has an area of 28 pie find the radius of circle
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length of the arc= 7 pie
let angleof arc= a degree
a/360*2 pie r= 7 pie
a/180*r= 7
r=7*180/a..............eqn 1
area of sector = a/360*pie* r*r
28 pie = a/360 pie *r*r
28=a/360*r*r
r^2=28 * 360/a
put eqn 1 here...
a =49*32400/28*360
a= 15.75
put a in eqn ....1
r= 7*180*100/1575
r= 80
let angleof arc= a degree
a/360*2 pie r= 7 pie
a/180*r= 7
r=7*180/a..............eqn 1
area of sector = a/360*pie* r*r
28 pie = a/360 pie *r*r
28=a/360*r*r
r^2=28 * 360/a
put eqn 1 here...
a =49*32400/28*360
a= 15.75
put a in eqn ....1
r= 7*180*100/1575
r= 80
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