Question

How to find area of a 1/4 of a circle?

Answer 1

Answer:

A quarter circle is one fourth of a circle. To find the area of a quarter circle, find the area of the whole circle by using the formula A = pi * r^2 and then divide by 4. To find the perimeter of the quarter circle, find the circumference of the whole circle, divide by 4, and then add the radius twice

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Answer 2

Step-by-step explanation:

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toni1339

23.04.2020

Math

Secondary School

answered • expert verified

Find the area of the 1 /4 part of a circle with the radius of 3. 5 cm

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ANSWER:

Let us divide the circle into 4 equal parts because they have told that 1/4 th part so there are 4 equal parts because,fractions represent equal parts of a whole or a collection.

Let us take a circle with centre 'O'

Now, the 1/4th part of circle is a sector with angle 90° & radius 3.5cm

We can find the area of sector in 2 methods

Method 1 :

Formula :

Here , r is radius & θ is the angle in sector where θ is measured in degrees

Hence , area of sector = 9.6cm²

Method 2 :

Formula:

Here , r is radius & θ is angle in sector where θ is measured in radians

First we have to convert 90° into radians

We know that π radians = 180°

90 ° = π/2 radians

Substituting

Hence , area of sector = 9.6 cm²