Answer:
The area of the sector (shaded section) is 29.51 .
Step-by-step explanation:
Area of a sector = (θ ÷ 360)
where θ is the central angle of the sector, and r is the radius of the circle.
From the diagram give, diameter of the circle is 26 m. So that;
r =
= = 13 m
θ = 360 - (180 + 160)
= 360 - 340
=
Thus,
area of the given sector = x
x
= x x
x 169
= 29.5079
The area of the sector (shaded section) is 29.51 .
We are told that the children from a football club are put into rows in the sports hall. When put into rows of 9 children there are 2 children left over. When put into rows of 12 children there are 2 children left over.
We will find least number of children in football club by finding LCM of 9 and 12.
Multiples of 9 are: 9, 18, 27, 36, 45, 54, 63,...
Multiples of 12 are: 12, 24, 36, 48, 60, 72, 84,...
We can see that least common multiple of 9 and 12 is 36.
We are told that 2 children left over from putting them into 9 and 12 children per row. To find least number we will add 2 to 36.
Therefore, the least number of children in the football club is 38.