Mathematics

Mathematics

Problem

In figure, AB and CD are two diameters of a circle (with centre O) perpendicular to each other and OD is the diameter of the smaller circle. If OA=7OA = 7 cm, find the area of the shaded region. ![A diagram showing a large circle centered at O with diameter AB and diameter CD perpendicular to each other. A smaller circle is inscribed, centered on OD, with diameter OD. The radius of the large circle is 7 cm. The shaded region consists of two parts: the area of the smaller circle and the area of the large circle segment bounded by arc BC and radii OB and OC.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/a2f950ad4b39448583b9ecaa54f6da38/c397c8d13a885b05543b490ca9317118_img.jpg) A diagram showing a large circle centered at O with diameter AB and diameter CD perpendicular to each other. A smaller circle is inscribed, centered on OD, with diameter OD. The radius of the large circle is 7 cm. The shaded region consists of two parts: the area of the smaller circle and the area of the large circle segment bounded by arc BC and radii OB and OC.

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