Question

Guys! Help me find how much of this circle is shaded!

Answer 1

The answer is 1/10

Explanation:

Let us take the Shaded region be x

So,

2/5 + x = 1/2

Now, Solve for x

x + 2/5 = 1/2

5x + 2/5 = 1/2

2(5x + 2) = 5(1)

10x + 4 = 5

10x + 4 – 4 = 5 – 4

10x= 1

10x/10 = 1/10

x = 1/10

Thus, The value of x is 1/10

For Verification;

2/5 + x = 1/2

2/5 + 1/10 = 1/2

2 × 2/5 × 2 + 1/10 = 1/2

4/10 + 1/10 = 1/2

4 + 1/10 = 1/2

5/10 = 1/2

1/2 = 1/2

L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72