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PLEASE HELP ME ASAP! THANK YOU

EXPLANATION = BRAINLIEST

The radius of a circle is 4 meters. What is the area of a sector bounded by a 135° arc?

Give the exact answer in simplest form.

PLEASE HELP ME ASAP THANK YOU EXPLANATION BRAINLIEST The Radius Of A Circle Is 4 Meters What Is The Area Of A Sector Bounded By A 135 Arc Give The Exact Answer class=

Sagot :

Answer:

The area of the sector of the circle is approximately

Step-by-step explanation:

The given parameters of the circle having a shaded sector are;

The radius of the circle, r = 4 meters

The measure of the arc bounding the sector = 135°

The area of a sector of a circle, 'A', is given as follows;

[tex]A = \dfrac{\theta}{360 ^{\circ}} \times \pi \times r^2[/tex]

Therefore, the area, 'A' of the given sector of the circle, is given as follows;

[tex]A = \dfrac{135 ^{\circ}}{360 ^{\circ}} \times \pi \times (4\ cm)^2 \approx 18.85 \ cm^2[/tex]

The area of the sector of the circle, with radius 4 cm and bounded by an arc, A ≈ 18.82 cm².

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