Answer:
The length of the arc is approximately 2.0944
Step-by-step explanation:
The given parameters are;
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°
The circumference of the circle, C = 2·π·r
∴ C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
∴ l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.0944
Answer:
A=200.96 in2
Step-by-step explanation:
A=PI x R2
A=3.14 x 8 in x 8 in
a=200.96 cm
Answer:
Step-by-step explanation:
as said in my comment
A: (3x-2)X(x+1)
B: substitute 3 in(if m=meters),
(3x3-2)
9-2
7X(x+1)
3+1
4
7X4
28
~-2.15139............ hope it helps
Answer:
1. ¹⁰/₁₂ and ⅚;
2. ⁸/₁₂ and ⁴/₆;
3. ⁶/₁₂ and ³/₆
Step-by-step explanation:
The question is asking what fractions of 12 are equivalent to fractions of some smaller number.
Derek cut his pizza into 12 slices. Let's say that Ryan cut his into 6 slices.
Scheme 1
Derek eats 10 slices, and Ryan eats 5 (Fig A
)
Then Derek has eaten ¹⁰/₁₂ = ⅚ of a pizza and Ryan has eaten ⅚ of a pizza.
They each have ⅙ of a pizza left over.
The fractions here are ¹⁰/₁₂ and ⅚.
Scheme 2
Derek eats 8 slices, and Ryan eats 4 (Fig. B)
Then Derek has eaten ⁸/₁₂ = ⅔ of a pizza and Ryan has eaten ⁴/₆ = ⅔ of a pizza.
They each have ⅓ of a pizza left over.
The fractions here are ⁸/₁₂ and ⁴/₆.
Scheme 3
Derek eats 6 slices, and Ryan eats 3 (Fig. C)
Then Derek has eaten ⁶/₁₂ = ½ of a pizza and Ryan has eaten ³/₆ = ½ of a pizza.
They each have ½ of a pizza left over.
The fractions here are ⁶/₁₂ and ³/₆.