/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 93 Find the area of the sector of a... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Find the area of the sector of a circle of radius 4 meters formed by an angle of 45°. Round the answer to two decimal places.

Short Answer

Expert verified

The area of the sector A of the circle is6.28m2

Step by step solution

01

Step 1. Given information

The circle has an area of 4meters and it forms an area with the angle 45∘

02

Step 2. Used formulae

The area of a circle with radiusr, angleθisA=12r2θ

03

Step 3. Calculation

45∘=45·π180=π4radians.

For the given problem, we substitute and the area is obtained asrole="math" localid="1646735777766" A=12·42·π4=2π≈6.2832m2

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