The graph of x^2 + x + y^2 + y = 199/2 in the xy-plane is a circle. What is the length of the....

Bluebook Digital SAT Test 4 Module 2 (Hard) Question 20:

The graph of x^2 + x + y^2 + y = 199/2 in the xy-plane is a circle. What is the length of the circle's radius?

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[AnklesMcStankles]

yo bro you can use c + (-a/2)^2 +(-b/2)^2 (all of that under the square root) so sqrt 199/2 + (-1/2)^2 + (-1/2)^2 it will give you ten

[tejussamir]

When I put it in desmos, the radius is 9.987

[shayyanasif]

if you write 9.975 will they mark it as correct or incorrect?

[mohammadhmadeh]

I wrote the equation in desmos and it gave me a circle of different radius why

[PrishaSingh-ns]

In desmos i got like 9.4 radius but you are right tho and 9.4 is wrong