Answer:
(x + 4)² + (y + 5)² = 73
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 4, - 5), thus
(x - (- 4))² + (y - (- 5))² = r², that is
(x + 4)² + (y + 5)² = r²
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)
r = 
= 
= 
= 
⇒ r² = 73, thus
(x + 4)² + (y + 5)² = 73 ← equation of circle
Answer:
A
Step-by-step explanation:
To convert degrees to radians
radian measure = degree measure × 
Hence
radian measure = 150° ×
Cancel both 150 and 180 by 30, then
radian measure = 5 × 
= 
The surface area of the pencil is the amount of space it covers
The surface area of the pencil is 61 square centimeters
<h3>How to determine the surface area?</h3>
The given parameters are:
H = 20 cm
L = 0.5 cm
The surface area (SA) is then calculated as:
SA = 6LH + 3
L^2
This gives
SA = 6 * 0.5 * 20 + 3 * 0.5^2
Evaluate the sum
SA = 61
Hence, the surface area of the pencil is 61 square centimeters
Read more about surface area at:
brainly.com/question/6613758
