📐 geometry

1. Soalan: Hitung perimeter kawasan berlorek dalam rajah (a). 2. Formula perimeter segmen bulatan: $$P = 2r + r\theta$$ di mana $r$ ialah jejari dan $\theta$ dalam radian.

1. The problem asks: How and why can a shape be both a kite and a rectangle? 2. Let's define the properties of each shape:

1. Let's start by stating the problem: Can a shape be both a trapezoid and a kite? What are the conditions for each shape? 2. Definitions:

1. **Problem statement:** Find the length of segment $AF$ on trapezoid $DEFG$ where $\angle DEF = 90^\circ$, bases $DE = 6$ and $EF = 30$ are parallel, height $DE = 20$, and point

1. **Problem:** Find the volume and surface area of a cuboid with dimensions 12 cm × 5 cm × 3 cm. 2. **Formulas:**

1. **Problem statement:** Find the angle $x$ in each diagram where two parallel lines are cut by a transversal, and a known angle is given on the opposite parallel line. 2. **Key r

1. **Problem statement:** Find the area of the shaded parts in a figure composed of two adjacent semicircles, each with radius 2 cm. The left semicircle is divided vertically into

1. **Problem statement:** We have two circles with centers $C$ and $D$ and radii 8 and 10 units respectively. The distance between centers $CD$ is 14 units. The circles intersect a

1. The problem states that three angles formed at the center of a circle add up to 360° because the total degrees around a point is 360°. 2. The given angles are 152°, 49°, and $x$

1. **Problem Statement:** Three solid spheres with diameters $\frac{3}{2}$ m, 2 m, and $\frac{5}{2}$ m are melted and combined to form a new solid sphere. We need to find the diame

1. **Problem statement:** We need to find the length of side $FG$ in a right triangle $FGH$ where the right angle is at vertex $F$. The sides $FH$ and $HG$ are given as 6 cm and 15

1. **State the problem:** We need to find the volume of a right-angled triangular prism. The triangle face has sides 23 m and 38 m (hypotenuse), and the prism depth (length) is 11

1. Let's start by understanding the problem: you want to find an angle corresponding to a given percentage. 2. A percentage can be thought of as a part of a whole, and when relatin

1. **State the problem:** We need to find the area of a shape composed of a rectangle ABDE and a right-angled triangle BCD attached along side BD. 2. **Given dimensions:**

1. **State the problem:** We have a trapezium with vertex $V$ and a center of enlargement located 2 units below and 1 unit left of $V$. The trapezium is enlarged by a scale factor

1. **Problem statement:** Given a circle with center O and points A, B, C, D, E on the circumference, where DE = DC, reflex angle EOC = 240°, and angle EAB = 100°. We need to find

1. **Problem statement:** Find (a)(ii) angle C B D, (a)(iii) angle B E A, (b) location of point O with reasons, (c) length of chord B C given radius 5 cm, and (d) explain why point

1. **State the problem:** We need to find the sum of the interior angles of a heptagon, which is a polygon with 7 sides. 2. **Formula:** The sum of the interior angles of any polyg

1. **Stating the problem:** Given a geometric figure with points A, B, C, D, E, and P, where angles at B and C are 60°, and segment BE = 3a, we are asked to find the length of BC.

1. **State the problem:** Find the area of each given shape. 2. **Formulas and rules:**

1. **State the problem:** We have a circle ACP with center O and a semicircle EAD with center P. The line BA is tangent to the circle ACP at point A. Given that \(\angle AOP = 113.