A Challenging Problem of Solid Angle by HCR

Geometry Level 5

The diagram above shows a hollow circular section having its center O, inner radius \(r=6 \text{ cm}\), outer radius \(R=20 \text{ cm}\) & four identical rectangular slots each having width \(5 \text{ cm}\) & length (depth) \( 15 \text{ cm}\) measured from the center \(O\). Find out the solid angle (in Ste-radian) subtended by slotted section at the point \(P\) lying at a distance \(OP = 5 \text{cm}\) on the normal axis through the center \(O\) (i.e. point \(P\) lies normally outwards to the plane of paper.

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