2 years ago

Work 9.2

Mathematics

1 answer:

HACTEHA [7]2 years ago

4 0

Answer:

Step-by-step explanation:

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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

Olegator [25]

Answer:

$0.46\pi\ radians$

Step-by-step explanation:

step 1

Find the circumference

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=5\ units$

assume

$\pi=3.14$

substitute

$C=2(3.14)(5)=31.4\ units$

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 $31.4\ units$ subtends a central angle of $2\pi \ radians$

using proportion

Let

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

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2 years ago