Android百度新版SDK可以使用DistanceUtil工具类，传入经纬度即可计算两点之间的距离：
LatLng p1LL = new LatLng(39971802, 116347927);
LatLng p2LL = new LatLng(39892131, 116498555);
double distance = DistanceUtil.getDistance(p1LL, p2LL);

比较老的SDK版本，没有相关的工具类，可以使用如下计算方式，短距离与长距离的计算方法：

    static double DEF_PI = 3.14159265359; // PI
    static double DEF_2PI = 6.28318530712; // 2*PI
    static double DEF_PI180 = 0.01745329252; // PI/180.0
    static double DEF_R = 6370693.5; // radius of earth

    public static double GetShortDistance(double lon1, double lat1, double lon2, double lat2) {
        double ew1, ns1, ew2, ns2;
        double dx, dy, dew;
        double distance;
        //角度转换为弧度
        ew1 = lon1 * DEF_PI180;
        ns1 = lat1 * DEF_PI180;
        ew2 = lon2 * DEF_PI180;
        ns2 = lat2 * DEF_PI180;
        // 经度差
        dew = ew1 - ew2;
        //若跨东经和西经180 度，进行调整
        if (dew > DEF_PI)
            dew = DEF_2PI - dew;
        else if (dew < -DEF_PI)
            dew = DEF_2PI + dew;
        dx = DEF_R * Math.cos(ns1) * dew;
        // 东西方向长度(在纬度圈上的投影长度)
        dy = DEF_R * (ns1 - ns2);
        // 南北方向长度(在经度圈上的投影长度)
        // 勾股定理求斜边长
        distance = Math.sqrt(dx * dx + dy * dy);
        return distance;
    }

    public double GetLongDistance(double lon1, double lat1, double lon2, double lat2) {
        double ew1, ns1, ew2, ns2;
        double distance;
        // 角度转换为弧度
        ew1 = lon1 * DEF_PI180;
        ns1 = lat1 * DEF_PI180;
        ew2 = lon2 * DEF_PI180;
        ns2 = lat2 * DEF_PI180;
        //求大圆劣弧与球心所夹的角(弧度)
        distance = Math.sin(ns1) * Math.sin(ns2) + Math.cos(ns1) * Math.cos(ns2) * Math.cos(ew1 - ew2);
        // 调整到[-1..1]范围内，避免溢出
        if (distance > 1.0)
            distance = 1.0;
        else if (distance < -1.0)
            distance = -1.0;
        //求大圆劣弧长度
        distance = DEF_R * Math.acos(distance);
        return distance;
    }

    public static void main(String[] args) {
        double mLat1 = 39.8882149161265;
        //point1纬度
        double mLon1 = 116.34482860138908;
        //point1经度
        double mLat2 = 39.88730142689885;
        //point2纬度
        double mLon2 = 116.3350819866085;
        //point2经度
        double mLat2 = 39.90534402658571;
        //point2纬度
        double mLon2 = 116.34485555055439;
        //point2经度
        double distance = GetShortDistance(mLon1, mLat1, mLon2, mLat2);
        System.out.println(distance);
    }