The area of a circle with chord length of 3√2cm is 28. 3 cm²
<h3>How to determine the area</h3>
The formula chord length of a circle is expressed as;
Chord Length = 2 × r × sin(c/2)
Where;
- r is the radius
- c is the angle formed by the chord and the circumference of the circle
- Chord length = 3√2
Let's substitute into the formula
3√2 = 2r sin 90/ 2
3√2 = 2r sin 45
3√2 = 2r × 1/ √2
2r = 3√2 ×√2/ 1
2r = 6
Make 'r' the subject
r = 6/2
r = 3cm
The formula for area of a circle is expressed as;
Area = πr²
Area = 3.142 × (3)²
Area = 3. 142 × 9
Area = 28. 3 cm²
Thus, the area of a circle with chord length of 3√2cm is 28. 3 cm²
Learn more about area here:
brainly.com/question/22972014
#SPJ1
Answer:
y = 10x + 8
Step-by-step explanation:
1. The slope-intercept form of an equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. Since we're given the value of slope and y-intercept, we just have to plug in those values to it's corresponding variable.
- 10 = m, and 8 = b.
- y = 10x + 8
Supplementary angles add up to 180°
Angle y is the large angle: y= 5x+6
180= x+y
180= (5x+6) + x
180=6x+6
174=6x
x=29
180= y+29
y=151°
