chicken5654 chicken5654
  • 10-09-2021
  • Mathematics
contestada

The endpoints of a diameter of a circle are ​A(3​,​1) and ​B(8​,13​). Find the area of the circle in terms of pi.

Respuesta :

altavistard
altavistard altavistard
  • 13-09-2021

Answer:

A = 169π/4

Step-by-step explanation:

From these two given points we find the length of the diameter of this circle, using the Pythagorean Theorem:

d^2 = (8 - 3)^2 + (13 - 1)^2, or

d^2 = 25 + 144 = 169

Thus, the diameter, d, of this circle is √169, or 13.  

The radius is thus 13/2 units.

The area formula is A = πr^2.  Here the area is

A = π(169/4), or A = 169π/4

Answer Link

Otras preguntas

Janet hiked 3/8mile in 1/4hours.how fast did she hike in miles per hour
graph the function f(x) = x squared + 4x = 12 on the coordinate Plane
2. Write 5 sentences about the ocean water and the availability of freshwater when deciding to build a city
Which three of the following characteristics are part of hunter-gatherer societies?
Primer needed to initiate DNA replication is :_________.
Which one of these samples contains the smallest number of molecule? A) 1.0L of H2 at STP(0c and 1atm) B) 1.0L of N2 at STP. C) 1.0 L of H2at 20 c and 760 to
Here is the beginning of a number trick. Can you make up more steps so that it will give the same answer for any number a person might choose? Think of a number
Which expression is equivalent to (3x squared -7) The answer is (10x squared -4) - (7x squared +3)
Which change was applied to the original paragraph? It was justified. It was left aligned. It was right aligned. It was centered.
dimensional formula of frequency with explation