📐 geometry

1. The problem is to find the volume of solids with bases that are regular polygons. 2. The general formula for the volume of a prism is $$V = B \times h$$ where $B$ is the area of

1. Let's start by stating the problem: We want to find the volume of a solid whose base is a regular polygon. 2. The volume of such a solid is generally found by multiplying the ar

1. The problem asks to fill in the blanks related to triangle terminology and properties. 2. a) The line joining a vertex of a triangle to the midpoint of the opposite side is call

1. Problem Q5: In the given figure find the value of $x$. 2. Given: four points $A,B,C,D$ on a circle clockwise, chords $AB,AC,AD,CD$ are drawn, an interior point $P$ is intersecti

1. **Problem Statement:** Given a circle with center $O$, diameter $AB$, and points $C$, $D$, $E$ on the circumference such that $BC = BE$ and $\angle ADC = 120^\circ$, find the me

1. Problem Q5: Two chords AB and CD intersect inside a circle at point P with $\angle ABP=40^\circ$, $\angle BPC=110^\circ$, and $\angle CDP=x$; find $x$. 2. Formula and rules: For

1. **Problem Statement:** We are given a circle with points A, B, C, D on the circumference forming a quadrilateral. The angle at point D inside the circle is $80^\circ$. At point

1. **Problem Statement:** We are given a circle with chords AB and CD intersecting at point P inside the circle. The angle at B is 40°, the angle formed at P by chords AB and CD is

1. **Problem Statement:** We are given a circle with chords AB and CD intersecting at point P inside the circle. We know \(\angle BAP = 40^\circ\) and \(\angle APD = 110^\circ\). W

1. **Problem Statement:** We are given a figure with three intersecting lines forming two adjacent triangles. The angles given are $50^\circ$ (top horizontal angle) and $120^\circ$

1. **Problem Statement:** We are given a geometric diagram with angles $x$, $y$, $50^\circ$, and $120^\circ$. We need to find the values of $x$ and $y$ based on the given angles. 2

1. **Find the value of x in each figure:** (i) Angles on a straight line sum to 180°.

1. **Problem Statement:** Find the area of a sector of a circle with diameter 22 feet and central angle $\frac{3\pi}{4}$ radians. 2. **Formula:** The area $A$ of a sector with radi

1. **Problem Statement:** Prove that the diagonals of a rectangle are equal. 2. **Given:** Rectangle ABCD with diagonals AC and BD intersecting at point O.

1. **Problem statement:** We have a rectangle ABCD formed by two adjacent squares ABFE and CDEF, each with side length 6 cm. Point G is the midpoint of DE, and BG intersects EF at

1. 問題陳述： (1) 三個半徑為2.5 cm的圓形組成的圖形，求其周界。

1. 問題陳述： (1) 計算圖中圓的周界。

1. 問題陳述： 陳先生吃剩的薄餅半徑為 20 cm，求薄餅的周界。

1. **Problem Statement:** We are given several geometric shapes with measurements and need to find missing lengths or areas using the value of $\pi = 3.14$. The shapes include poly

1. **Problem Statement:** We are given two shapes: - A teardrop-shaped figure with a circular top of radius 5 cm and two sides each of length 6 cm.

1. 問題陳述：計算圖形的周界，π取3.14。 2. 公式與規則：