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
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