Find the exact area of a circle with diameter of 10 units.

10pi
100pi
5pi
25pi

D.

Step-by-step explanation:

We have been given that diameter of a circle is 20 units.

To find the area of our given circle we will use area of circle formula.

, where r represents radius of circle.

let us find the radius of our given circle by dividing diameter by 2 as diameter is 2 times radius.

Upon substituting r=5 in area of circle formula we will get,

Therefore,the exact area of our given circle is square units and option D is the correct choice.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

pi x^2

step-by-step explanation:

pi times x squared