Hi there! The answer is 100πcm^2
The radius of a circle can be found by dividing the diameter by 2. In other words : the radius is half of the diameter.
Therefore, the radius of a circle with a diameter of 20 cm is 10 cm.
The exact area of a circle can be found using the following formula:

In order to find our answer, we need to plug in the data from the question.

Hence, the answer is 100πcm^2.
Answer:
x = 51°
Step-by-step explanation:
The straight line segment has a total angle of 180°. Therefore, to find the angle inside the triangle that is next to 94°, subtract 94 from 180:
180° - 94° = 86°
That angle is almost a right angle but not quite. Now, to find x, add up the two angles inside the triangle and subtract it from 180°:
43° + 86° = 129°
180° - 129° = 51°
There is a chance of 1/16*1/15 that she gets the specific socks pair according to laws of probability and the counting principle but thats not how it will work over here.
As we should be guaranteed that she gets the number of socks she obviously must take out around 9 socks as we are taking the worst case scenario where all the socks that come out are the different ones so the ninth sock must match any of the others.
But if we draw three socks obviously the probability is 1/16*1/15*13/14 as we dont want the third one to be same. We can multiply the answer by 3 as it can be in three different orders.
Answer:
d. 126; 70
Step-by-step explanation:
given that Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them.
Out of 9 books he has to select 5 of them
Here selection of books can be done in any order. Hence order does not matter
No of ways he selects 5 books out of 9 books = 9C5
= 126
Part II
One book is a must
Hence he has options only 4 books from the remaining 8.
No of ways when one book is compulsory = selecting 3 books from 8 books
= 8C4
= 70
Option d is right.