Question
In a circle of radius 7 cm, the area of a sector is
(154/3) cm². Find the angle of the sector at the centre.Solution
Area of a sector = (θ/360) × πr² Given: (θ/360) × π × 7² = 154/3 π ≈ 22/7, but notice: πr² = π × 49. They gave 154/3; check with π=22/7: πr² = (22/7)×49 = 22×7 = 154 So (θ/360) × 154 = 154/3 Cancel 154 (non-zero): θ/360 = 1/3 ⇒ θ = 120°.
How many standards has BIS aligned with sustainability and digital requirements as highlighted at the CII Excellence Summit 2025?
Which Indian weightlifter secured a silver medal in the women’s 53 kg snatch event at the Asian Weightlifting Championships 2026?
Which article of the Indian Constitution allows citizens to approach the Supreme Court for enforcement of Fundamental Rights?Â
Where is the International Financial Services Centres Authority (IFSCA) planning to set up an international arbitration center for dispute resolution?
What is the total disgorgement amount ordered by SEBI in the IndusInd insider trading case?
What is the targeted number of educators to be empowered through AI Productivity Labs under the IndiaAI and Microsoft partnership?
How many UN Member States were included in the Honour Roll after clearing their dues promptly?
Outward FDI in November 2025 was less than half of which month’s outward FDI value of $3.2 billion?
- Where is SECI’s 200 MW Solar Project being developed in Madhya Pradesh?
How much total fund was transferred to women under the Mukhyamantri Mahila Rojgar Yojana during the launch?
