439,000 is the answer for, when you round 438,692
Answer:
1) 8.9 cm
2) 44.5 cm^2
Step-by-step explanation:
a) we want to calculate the length of the arc
Mathematically, we use the formula for the length of an arc
That will be ;
theta/360 * 2 * pi * r
theta = central angle = 51
r is radius = 10 cm
so we have ;
51/360 * 2 * 22/7 * 10 = 8.9 cm
2) The area of the sector is;
theta/360 * pi * r^2
51/360 * 22/7 * 10^2
= 44.5 cm^2
In order to find this out, let's convert both of them into percents. Since 17.5 is already a percent, we only have to convert 1/6 into a percent. To convert 1/6 into a percent, you have to divide the numerator by the denominator. If you do that, you will get 0.1666..... as a repeating decimal. Now, multiply the decimal by 100 or just move the decimal 2 spaces to the right to get the percent. If you do that, you will get 16.6%. Since it is a repeating decimal, you can round it to 16.7%. So, 17.5% is larger than 1/6.
Hope it helps :)
