CBSE Class 10 Maths (Basic) 2026 · Paper 430/2/1 · Question 34(b)

Areas Related to Circles 5 marks Hard

A rectangle ABCD with diagonal

14

cm is inscribed in a circle with centre O as shown in the given figure. If the area of the shaded portion is expressed as

a + b 3

, find the values of

a

and

b

. Also, find the perimeter of the sector OABO.

Figure for (b): rectangle ABCD inscribed in the circle with centre O; the segments cut off by AD and BC are shaded.

Answer

The shaded area is

(\frac{154}{3} - \frac{49}{2} 3) cm^{2}

, so

a = \frac{154}{3}

and

b = - \frac{49}{2}

; the perimeter of the sector OABO is

\frac{86}{3}

\approx 28.67

cm.

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