Question

Is the area of the circle inscribed in a square of side a cm, ra² cm^2? Give reasons
for your answer.​

Answer 1

Answer:

No the Area is not πa² cm²  but it is πa²/4 cm²  

Step-by-step explanation in the attachment:

Hope it Helps

Answer 2

Step-by-step explanation:

Assuming the fact that the circle is big enough to touch the 4 sides of the given square at respective points.:

From the given diagram we can see that,

Side(a) =diameter of the circle(d) =r+r

We know that area of a circle= πr^2

• And, radius=d/2

thus Area of circle= π[a/2]^2 = πa^2/4

• let π/4=r

therefore: Area =ra^2

I hope this is helpful!

...........Thankyou!!!