Information Given:
A children’s park has a circular garden as shown in the figure with DC and AB representing x and y-axis respectively. AB and CD are two cemented walkways of length 70 m each. Areas marked as AEOF and BGOH are flower beds whereas ECGO and FDHO are covered with grass. FOE and HOG are parabolas with focus (0, 6) and (0, −6) respectively.
Based on the information given above answer the questions.
What is the equation of circle with centre O and radius OC.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(x^2+y^2=1225\)
The walkway CD passes through the centre O, so it is a diameter of the garden:
\( \displaystyle OC = \frac{70}{2} = 35 \text{ m} \)
The circle with centre at the origin and radius 35 is
\(x^2+y^2 = 35^2 = 1225\)