3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196
Answer:
226.084 sq.m.
Step-by-step explanation:
Radius of circle = 18.6 cm
Area of sector = ![\frac{\theta}{360^{\circ} }\pi r^2](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctheta%7D%7B360%5E%7B%5Ccirc%7D%20%7D%5Cpi%20r%5E2)
Area of sector = ![\frac{123}{360} \times 3.14 \times (18.6)^2](https://tex.z-dn.net/?f=%5Cfrac%7B123%7D%7B360%7D%20%5Ctimes%203.14%20%5Ctimes%20%2818.6%29%5E2)
Area of sector = ![371.157 m^2](https://tex.z-dn.net/?f=371.157%20m%5E2)
Area of triangle = ![\frac{1}{2} \times a \times b \times Sin x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20a%20%5Ctimes%20b%20%5Ctimes%20Sin%20x)
a = OA = radius = 18.6 cm
b = OB = radius = 18.6 cm
x =123 °
Substitute the values in the formula
Area of triangle = ![\frac{1}{2} \times 18.6 \times 18.6 \times Sin 123](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%2018.6%20%5Ctimes%2018.6%20%5Ctimes%20Sin%20123)
Area of triangle = ![145.073 m^2](https://tex.z-dn.net/?f=145.073%20m%5E2)
So, Area of shaded region = Area of sector - Area of triangle
=![371.157 m^2-145.073 m^2](https://tex.z-dn.net/?f=371.157%20m%5E2-145.073%20m%5E2)
=![226.084 m^2](https://tex.z-dn.net/?f=226.084%20m%5E2)
Hence the area of the shaded region is 226.084 sq.m.
Answer:
The required equation is 3y=36 and the tape diagram is shown below.
Step-by-step explanation:
Consider the provided information.
We need to write a multiplication equation that has a solution of 12.
3y=36
We know we have to split 36 into three equal groups, so we have to divide by 3 to show this algebraically.
3y÷3=36÷3
y=12
Now check this with the help of tape diagram as shown.
Consider the figure 1.
This represents if 36 had to be split into three groups, how big would each group be?
By the tape diagram we concluded that the value of y is 12.