Answer:

Step-by-step explanation:
The <u>width</u> of a square is its <u>side length</u>.
The <u>width</u> of a circle is its <u>diameter</u>.
Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.
<u>Formulas</u>



If the diameter is equal to the side length of the square, then:

Therefore:

So the ratio of the area of the circle to the original square is:

Given:
- side length (s) = 6 in
- radius (r) = 6 ÷ 2 = 3 in


Ratio of circle to square:

The answer to that equation is {7,7}
Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
1. ∠SWT ≅ ∠TWU
Given
2. m∠SWT + m∠TWU = 180°
Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180°
Substitution
4. m∠SWT = 90°
Algebra
5.
⊥
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines
and
m∠SWT = 90°, therefore, the lines
and
are perpendicular to each other.
Answer:
The answer is D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.