SOLUTION: a circle with center of (4,8) passes through the point (5,9) what is the area of the circle rounded to the nearest tenth of a square unit

Question 289664: a circle with center of (4,8) passes through the point (5,9) what is the area of the circle rounded to the nearest tenth of a square unit
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Recall that the radius is the distance from the center of the circle to the edge of the circle. So to find the radius, just find the distance from (4,8) to (5,9).

Start with the distance formula.

Plug in , , , and .

Subtract from to get .

Subtract from to get .

Square to get .

Square to get .

Add to to get .

Since , this means that because the radius is the distance from the center to the edge of the circle.

Move onto the area of a circle formula

Plug in

Square to get 2.

Rearrange the terms.

So the exact area is which approximates to

. Round this to the nearest tenth to get

So the area is approximately 6.3 square units.
RELATED QUESTIONS
A circle with center (0, 0) passes through the point (5, 5). What is the area of the... (answered by Alan3354)

help please show work please thanks. A circle with center (0,0) passes through the... (answered by Alan3354)

Help please. A circle with center (0,0) passes through the point (3,4). What is the... (answered by Boreal)

Find the area of a circle with radius 5 mm, rounded to the nearest tenth. (answered by nic0le116)

a circle has a center (8,2). the point (3,7) is on the circle. What is the area of the... (answered by Alan3354)

What is the equation of the circle with center (-4,-3) that passes through point... (answered by josgarithmetic)

area of a circle with a radius of 15 millimeters rounded to the nearest... (answered by stanbon)

Graph the circle with the center (0,-1) that passes through (-6,-1). Find the area in... (answered by Alan3354)

Graph the circle with center (0,-1) that passes through (-6,-1). Find the area in terms... (answered by Alan3354)