What is the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2? round your answer to the earnest hundredth. (there are no answer choices. i have to type this answer out

Step-by-step explanation:

step 1

Find the circumference

The circumference of a circle is equal to

we have

assume

substitute

step 2

Find  the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2 units

Remember that

The circumference of subtends a central angle of

so

using proportion

Let

x-----> the central angle in radians

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.