Question

the length of the tangent from a point A at a distance 35 and from centre of the Circle is 28 cm find the area of circle​

Answer 1

$\huge{\underline{\mathbb{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

$\large\underline\bold\red{Given}$

The length of tangent from a point A at distance 35cm from the centre of the circle is 28cm.

$\large\underline\bold\red{To \: find}$

Radius & area of the circle.

$\large\underline\bold\red{solution }$

Since AB is tangent.

Hence,

OB perpendicular to AB

Therefore,

•angle OBA= 90°

∆OAB is a right ∆

So,

Using Pythagoras Theorem:

(Hypotenuse)²=(base)²+(perpendicular)²

$\dashrightarrow$OA² = OB² + AB²

$\dashrightarrow$35² = OB² + 28²

$\dashrightarrow$ OB² = 35² - 28²

$\dashrightarrow$OB² = 1225 - 784

$\dashrightarrow$OB² = 441

$\dashrightarrow$OB= √441

$\dashrightarrow$OB = 21cm

$\large\underline\bold\red{now}$

$\longrightarrow$Area of circle = πr²

$\dashrightarrow$22/7 × 21cm × 21cm

$\dashrightarrow$ 22× 3cm × 21cm

$\dashrightarrow$ 1386cm²

$\large\underline\bold\red{hence,}$

The area of circle is 1386cm².

Answer 2

Answer:

see in the pic...

Step-by-step explanation:

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