Question

find the radius of circle
pls only answer if you know , don't give unwanted answers....​

Answer 1

Answer:

Ans. 5

Step-by-step explanation:

let x is radius and MO = p ,LO = 7-p

Here M & L are the midpoints of AB and CD resp.

so, MO²+ AM² = OA²

=> p² + 4² = x² .........1️⃣

again OL² + LC² = OC²

=> (7-p)² + 3² = x² .......2️⃣

substructing eq. 2️⃣ from eq. 1️⃣ we get..

=> p²+ 4² - (7-p)²- 3² = x²- x²

=> p² +16 - 49 - p² + 14p - 9 = 0

=> 14p = 42 => p = 3

so MO = 3, AM = 4 then,

OA = (MO² + AM²)½

OA = (3² + 4²)½ = 5