The radius of this circle is (B) 4.9 cm.
<h3>
To find the radius of the circle:</h3>
To solve this problem, we need to, first of all, convert the angle from radians to degrees.
data;
- length of an arc = 18cm
- angle = 7/6π rads
- π= 3.14

Length of an Arc:
The formula for the length of an arc is given:
θ/360 × 
Let's substitute the values and solve:

From the calculations above, the radius of this circle is 4.9cm.
Therefore, the radius of this circle is (B) 4.9 cm.
Know more about radius here:
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Complete question
A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for pi.
(A) 3.7 cm
(B) 4.9 cm
(C) 14.3 cm
(D) 15.4 cm
If it’s a factor then it’s 2 but if your doing a expression then it is just 2x+2
Answer:

Step-by-step explanation:
we know that
The area of rectangle is equal to

The coordinates of vertices are

using a graphing tool
Plot the coordinates of rectangle to better understand the problem
see the attached figure
the formula to calculate the distance between two points is equal to

we have that

<em>Find out the distance AD</em>
we have

substitute in the formula



<em>Find out the distance AB</em>
we have

substitute in the formula



The area of rectangle is equal to


If those are the only numbers that are given the most logical answer would be 12 since 52-32=20 and 32-20=12