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What is the area of a 45 degree sector of a circle with a radius of 12in.? Use 3.14 and round the answer to the nearest square inch.

Respuesta :

altavistard

Answer:

57 square inches

Step-by-step explanation:

First consider that a 45 degree sector of a circle is 45/360 of the area of the full circle from which it is cut.  This comes out to 1/8 of the full circle area.

The area of a circle of radius 12" is A = π(12 ")^2, or A = 144π.

The area of the sector in question is 1/8 of that, or

A = (1/8)(144π), or A = 18π square inches, or approximately 57 square inches.

adioabiola

The area of a 45 degree sector of a circle with radius 12 in as described is; 56.5in.

What is the area of the sector of the circle?

The area of a sector of a circle is given by the formula; (∆/360) × πr²; where ∆ is the angle subtended by the sector.

On this note, the area of the sector in discuss is;

A = (45/360) × 3.14 × 12².

Area = 56.5in².

Read more on area of a sector;

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