I think #7 is 40
#9 is 300
Use Pythagorean Theorem:
a² + b² = c²
"a" is one side of the right triangle.
Its length is: radius of larger circle minus radius of smaller circle: (11 - 3 = 8)
The distance between the center of the circles creates the hypotenuse (17)
8² + b² = 17²
b² = 225
b = 15
Answer: the length of the common external tangent is 15.
It's important to know that rigid transformations don't change the size or shape, this means the corresponding angles between the image and preimage are congruent. Due to the reflection transformation, angle C corresponds to angle Z.
<h2>Therefore, the answer is angle Z.</h2>
<h3>SOLUTION : </h3>
The radius of the circle is 4 inch and has an arc length of 5.8 inches . We know that if the central angle is 360° then the arc length is
. Similarly when angle is theta ,
Now substitute respective values , from the given data ,

This is our required answer!