Answer:
(x +3)^2 +(y -4)^2 = 52
Step-by-step explanation:
The standard form equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
We are given the value of (h, k), and we can find the value of r^2. Using the values of h and k, our equation is ...
(x +3)^2 +(y -4)^2 = r^2
Since we know this equation is satisfied by the point (1, -2), we can use this point in the equation to find r^2:
(1 +3)^2 +(-2 -4)^2 = r^2
16 +36 = r^2 = 52
The equation of the circle is ...
(x +3)^2 +(y -4)^2 = 52
Answer:
30
Step-by-step explanation:
120+30 =150
180-150 =30
Answer:
73.4 cm^2
Step-by-step explanation:
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
Mark brainliest pls
the approximate circumference of a lid that will fit his frying is 34.5 inches .
<u>Step-by-step explanation:</u>
Here we have , Jonathan wants to buy a lid for his frying pan. The diameter of the pan is 11 inches. We need to find What is the approximate circumference of a lid that will fit his frying . Let's find out:
We know that a lid for his frying pan is basically in shape of circle , So we consider a lid for his frying pan as a circle ! Now ,
Circumference of circle = 
, r = radius
⇒ 
⇒ 
⇒ 
, D = Diameter = 11 inches
⇒ 
⇒ 
⇒ 
Therefore , the approximate circumference of a lid that will fit his frying is 34.5 inches .
