Question

Point p lies on a circle with centre o and A is a point of the tangent through P if PA = 7CM and OA = 25cm, find the diameter of the circle.​

Answer 1

Answer:

too longgggggggggggggggg

Answer 2

Solution :-

from image we get,

• O = centre of circle .
• OP = radius of circle.
• OA = 25 cm .
• PA = 7 cm.

we know that,

• The tangent at any point of a circle is perpendicular to the radius through the point of contact .

so,

• ∠OPA = 90° .

then in right angled ∆OPA,

→ OP = √(OA² - PA²) { By pythagoras theorem .}

→ OP = √(25² - 7²)

→ OP = √(625 - 49)

→ OP = √(576)

→ OP = 24 cm.

therefore,

→ Diameter of the circle = 2 * radius = 2 * 24 = 48 cm. (Ans.)

Learn more :-

PQ and XY are two chords of a circle such that PQ = 6 cm and XY = 12 cm and PQ||XY. If the distance between the chords i...

https://brainly.in/question/24793483

PQRS is a cyclic quadrilateral with PQ = 11 RS = 19. M and N are points on PQ and RS respectively such that PM = 6, SN =...

https://brainly.in/question/27593946