Question

if the radius of a circle is √2 cm , then area of a quarter circle is

Answer 1

YSWZGYGXStep-by-step explanation:

Answer 2

Answer:

Let there be a circle of radius r inscribed by a quarter circle of radius R then drop the perpendicular from center of inscribed circle to the radius of quarter circle to get a right triangle of legs r & r & hypotenuse R−r then we apply Pythagorean theorem as follows

(R−r)2=r2+r2

(R−r)2=2r2

R−r=r2–√

r(2–√+1)=R

r=R2√+1

r=R(2–√−1)

As per given question, the radius r of circle inscribed in a quarter circle of radius R=1 is computed by substituting R=1 in above general formula

r=1(2–√−1)

=2–√−1

Step-by-step explanation:

As per given question, the radius r of circle inscribed in a quarter circle of radius R=1 is computed by substituting R=1 in above general formula

r=1(2–√−1)

=2–√−1