1. what is the measure in radians for the central angle of a circle whose radius is 6 cm and intercept arc length is 5.4 cm?

make sure to show all calculations.

2. in a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π59π5 radians.

what is the arc length?

use 3.14 for ππ and round your final answer to the nearest hundredth.

make sure to show your calculations

Adam drew two same size rectangles and divided them into the same number of equal parts. he shaded 1/3 of one rectangle and 1/4 of the other rectangle. what is the least number of parts into which both rectangles could be divided into?

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.

In the diagram, gef and hef are congruent. what is the value of x