Question

please solve this question ​

Answer 1

Step-by-step explanation:

we can find the angle covered by cricket since a circle has an angle of 360°

so, angle by cricket=360-160-25-45-30

100°

so, we have to find the percent of area covered by each sport in the circle.

the area of a sector is given by

pi*radius*radius*angle/360°

and the area of a circle is

pi*radius*radius

so, part covered on the circle by the sector

=area of the sector /area of the circle

=(pi*radius*radius*angle/360°)/(pi*radius*radius)

=angle/360°

so, part covered by football

=45°/360°

=1/8

let the total amount of money invested be x

APQ:

1/8*x=9000

Or

x=72000

this is the total money invested by the school.

so part covered by hockey

=160°/360°

=4/9

so, part covered by cricket

=100°/360°

=5/18

so, money invested in hockey

=4/9*72000

=4*8000

=32000

so, money invested in cricket

=5/18*72000

=5*4000

=20000

though not given in the question, but I am calculating the amount on basketball and tennis. ;-)

so, part covered by basketball

=25°/360°

=5/72

so, part covered by tennis

=30°/360°

=1/12

so, money invested in basketball

=5/72*72000

=5*1000

=5000

so, money invested in tennis

=1/12*72000

=1*6000

=6000