Find the base radius of a cone made from a circle of radius 12cm and length of arc 77cm please help me solve it to the end

sorry. A circle of radius 12 has a total circumference of 75.4

so there is no way the arc length could be 77 cm

good observation.

I answered this same question yesterday.
Since he wanted the base radius of the cone, all we need is the
77 cm of the arc.
I totally ignored the radius of the original circle since it did not enter
the problem. Should have checked to see if valid.

Of course with the "search" feature not working for the last 3 years on
this webpage, I now cannot find that question to see if he responded.

Did you know?

Did you know that the base radius of a cone can be determined using the radius and length of arc of its base circle? In this case, with a circle of radius 12cm and a length of arc measuring 77cm, the base radius of the cone can be found. To solve for the base radius, you can use the formula for finding the circumference of a circle: circumference = 2πr. Given that the length of the arc is 77cm, which is a fraction of the circumference, you can set up a proportion to solve for the base radius. By using the formula (arc length/circumference) = (angle subtended at the center/360 degrees), and rearranging the equation to solve for the circumference, you can then determine the base radius of the cone. Remember to use radians instead of degrees when calculating angles.