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1 year ago

Hello I need help here.

Mathematics

1 answer:

guajiro [1.7K]1 year ago

5 0

The area of a circle with chord length of 3√2cm is 28. 3 cm²

<h3>How to determine the area</h3>

The formula chord length of a circle is expressed as;

Chord Length = 2 × r × sin(c/2)

Where;

r is the radius
c is the angle formed by the chord and the circumference of the circle
Chord length = 3√2

Let's substitute into the formula

3√2 = 2r sin 90/ 2

3√2 = 2r sin 45

3√2 = 2r × 1/ √2

2r = 3√2 ×√2/ 1

2r = 6

Make 'r' the subject

r = 6/2

r = 3cm

The formula for area of a circle is expressed as;

Area = πr²

Area = 3.142 × (3)²

Area = 3. 142 × 9

Area = 28. 3 cm²

Thus, the area of a circle with chord length of 3√2cm is 28. 3 cm²

Learn more about area here:

brainly.com/question/22972014

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